Recent Changes

5.1
Example #1:Classifying Functions
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-a.)example of a quadratic functiona.)example of a quadratic function
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-y=(2x+3)(x-4)y=(2x+3)(x-4)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-y=2x²-8x+3x-12y=2x²-8x+3x-12
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-constant-2x²constant-2x²
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-linear- (-5x)linear- (-5x)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-quadratic- (-12)quadratic- (-12)
A quadratic function isquadratic- an equation that could transform intowith an function that is equal.
b.)exampleexponent of a non-quadratic function
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum2
vertex- highest or minimum value of the function.-f(x)=3(x²-2x)-3(x²-2)f(x)=3(x²-2x)-3(x²-2)
Vertex of a Parabola: Is thelowest point at which the parabola intersects the axis of symmetry. The y-value of the vertex ofon a parabola represents the maximum or minimum value of the function.-f(x)=3x²-6x-3x²+6f(x)=3x²-6x-3x²+6
Vertex of a Parabola: Is
x-intercept- the exact point at whichwhere the parabola intersectsfunction crosses the x- axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-f(x)=-6x+6f(x)=-6x+6
Vertex of a Parabola: Is
y-intercept- the exact point at whichwhere the parabola intersectsfunction crosses the y- axis of symmetry. The y-value of
increasing- the vertex of a parabola represents2 points from when the maximum or minimum value ofgraph starts to increase
decreasing- the function.-constant- 6constant- 6
Vertex of a Parabola: Is2 points from when the point at which the parabola intersects the axis of symmetry. The y-value ofgraph starts to decrease
maximum- the vertex of a parabola represents the maximum or minimum value of the function.-linear- -6xlinear- -6x
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of
minimum- the vertex of
Parabola- when a parabola represents the maximum or minimum value of the function.-quadratic- 0x² or nonequadratic- 0x² or none
A non-quadratic functionquadratic equation is a function you have to set up in standard form
Example #2: Points on a Parabolas
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-f(x)=2x²-8x+8f(x)=2x²-8x+8
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Vertex:(2,0)Vertex:(2,0)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-AOS:x=2AOS:x=2
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Coordinates-Coordinates-
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-P:(1,2)P:(1,2)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Q:(0,8)Q:(0,8)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-P':(3,2)P':(3,2)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Q':(4,8)Q':(4,8)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Graph⇩Graph⇩
{435436.jpg} 435436.jpg
Points on a parabolas are the points that fall on the x and y axis .
Most there are 2 pointsgraphed (u-shaped)
5.2
The graphs are done basically the same way but look different in the sense that quadratic functions make parabolas while linear functions make v-shapes.
In quadratic functions there must be an exponent of 2 as opposed to linear functions.
5.5
The tennis ball makes the shape of a parabola when traveling through the air.
h(1)=27, which means that at 1 second the height (h) of the tennis ball was 27 ft.
y-intercept of h(t)= 3, which represents the initial height the ball was hit at.
vertex= (25,28), which is the maximum height of the tennis ball. x= seconds while the y= height.
x intercept= 2.6, which means at 2.6 seconds the tennis ball will hit the ground.

5.1
Example #1:Classifying Functions
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-a.)example of a quadratic functiona.)example of a quadratic function
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-y=(2x+3)(x-4)y=(2x+3)(x-4)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-y=2x²-8x+3x-12y=2x²-8x+3x-12
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-constant-2x²constant-2x²
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-linear- (-5x)linear- (-5x)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-quadratic- (-12)quadratic- (-12)
A quadratic function is an equation that could transform into an function that is equal.
b.)example of a non-quadratic function
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-f(x)=3(x²-2x)-3(x²-2)f(x)=3(x²-2x)-3(x²-2)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-f(x)=3x²-6x-3x²+6f(x)=3x²-6x-3x²+6
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-f(x)=-6x+6f(x)=-6x+6
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-constant- 6constant- 6
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-linear- -6xlinear- -6x
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-quadratic- 0x² or nonequadratic- 0x² or none
A non-quadratic function is a function you have to set up in standard form
Example #2: Points on a Parabolas
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-f(x)=2x²-8x+8f(x)=2x²-8x+8
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Vertex:(2,0)Vertex:(2,0)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-AOS:x=2AOS:x=2
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Coordinates-Coordinates-
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-P:(1,2)P:(1,2)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Q:(0,8)Q:(0,8)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-P':(3,2)P':(3,2)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Q':(4,8)Q':(4,8)
Vertex of a Parabola: Is the point at which the parabola intersects the axis of symmetry. The y-value of the vertex of a parabola represents the maximum or minimum value of the function.-Graph⇩Graph⇩
{435436.jpg} 435436.jpg
Points on a parabolas are the points that fall on the x and y axis .
Most there are 2 points
5.2

I am friendly, outgoing, loud, funny, a type of person that always loves to smile
My best friend is my Brother Tyrell
food is rice and beans and pizza
My favorite sport is Basketball
I am a mother of a beautiful baby girl named Yessenia.
I cant be without my phonee EVER !

My favorite food is rice and beans and pizza
My favorite sport is Basketball
I am a mother of a beautiful baby girl named Yessenia.

In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement.
Answer:
1. D -->---> X is greater than or equal to -2.and because so, the circle is shaded and going to the right of the number line to the positive numbers.
2. A ---> X is less than -2 and because so, the circle is open and going to the left of the number line toward the negative numbers.
3. C ---> X is between both -2 and and positive 2 and causing the line to stop. Both the signs are less than but once circle is shaded and the other is not making one of the directions less then or equal to.
4. E ---> Because there is an 'OR' in the graph it makes the line brake into two lines going in opposite directions. The first equation has a greater than or equal to sign causing the line to go to the left toward the negative signs and the second equations has a less than sign causing the line to go in the opposite direction than equation one.
5. DF ---> X is between the 2 equations making the line connect but stop at the points. Both signs are equal to but different directions.
6. EB ---> ' OR ' is in between both the equation cause the lines to break and go in opposite direction of each other, but their signs are different.
3.2:
Summarize what we did in class today. Explain what similar features are shown in the graph x>5 as you would graph it on a number line and x>5 as you would graph it on a coordinate plane. Also explain the similarities of x<-3 as graphed on a number line and x<-3 on a coordinate plane. Explain how this same thinking applies to y<2x+1 ?? How do you know which side of the line should be shaded since the line is slanted? Be sure to explain the short-cut method as well as the algebraic method you could use to prove that the correct side of the line has been shaded.

Unit 3 Lesson 1 Do Now
Do Now: Decide whether the given number is a solution to the inequality.
Solution: 4
Inequality: 2x + 8 < 16
- 8 - 8
2 2
x < 4
number is not a solution
3.1:
Graphing Simple Inequalities
5. D
6. E

Name:
Algebra 2 CP
Unit 3 Lesson 1 Do Now
Do Now: Decide whether the given number is a solution to the inequality.
Solution: 4
Inequality: 2x + 8 < 16
- 8 - 8
2x < 8
2 2
x < 4
- The given number is a solution to the inequality.
3.1:
Graphing Simple Inequalities
After watching the video above on graphing, you need to match the inequality statements below in the document below with their corresponding graphs.
{http://www.wikispaces.com/i/mime/32/application/msword.png} 3.1 wikispace journal.doc
In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement.
Answer:
1. D -->
2. A
3. C
4. E
5. D
6. E

2.1:
On your wikispace, describe the relationship between different pairs of lines and their slopes as it relates to the number of intersections (solutions) that the system of equations will have. Be sure to discuss all 3 graphs and how they are similar or different.
The relationship between different pair of lines and their slope is that they could be different and still intersect each other. In graph 1 the slopes are similar but the lines dont intersect each other causing it to have no solution. In graph 2 the slope are the same and the 2 lines intersect each other at point (5.5,8) with only one soultion. In graph 3 there is no slope because the lines are equal making it have all solutions.
2.2:
Describe the 3 different methods for solving (finding a solution) to a system of equations. Why/When would you choose one method over the another? What are you looking for in each system to determine the best method? Discuss any tricks or special techniques to remember when solving each of the methods.
1. Graphing- one solution; where the two lines me ( they cross )
no solution; parallel same slope and a different y-intercept ( they dont cross )
indefinite; many same y-intercept and slope. ( same line )
2. Elimination- both equations are in standard form
3. Substitution- has atleast one variable by itself.
2.3:Look at the graph below. Both functions represent two different bank accounts.
The blue linear function represents a bank account where a person deposited $1000. This person then deposits an additional 100 dollars at the end of each year.
The red linear function represents a bank account where a person deposited $1050. This person then deposits an additional 75 dollars at the end of each year.
Compare and contrast the two bank accounts in your online journal by answering the following questions:
Write a function that represents the red linear function.
What is the y-intercept of each function? Explain in the context of the situation.
What is the slope of each function? Explain in the context of the situation.
Which account is better? Is this always true? Be specific, using dates and account values from the graph to support your argument.
Which account would you choose when opening to save up for your college in a few years and why?
Would you choose that same account to start your child's college fund (if you had a child) and why?
1. B(t)= 1050+ 75t
2. The y-intercept of the blue linear function is 1000 and the y-intercept of the red linear function is 1050. They are the starting depoites.
3. The slope of the red function is 75 and the slope of the blue function is 100 because its an additional deposite that the person is depositing.
4. The red linear function is the better account because your not depositing as much money so you can have some money to spend then to put it all away. No, its not always true because you could always change up your deposite and put as much money as you want in.
5. I would chose the blue linear function because the more i save up the sooner i can pay off all my college bills then having to be behind because im still saving up.
6. No, i would go back to the red linear function because throughout the years that my child is growing up i have enough time to cover all the payments and take care of them.

( Dont really understand directions but tried anyways )
In equation number 1 I would match it with graph D because the slope is negative and the y-intercept is positive so most likely the line will be going upwards on the graph. Equation 2 would be matches to graph B because the slope is postive and so isnt the y-intercept making the line positive. Equation 3 would be matches graph D because the the slope is a postive fraction and so is the y-intercept making the line above the x-axis making the equation positive. Equation 4 would be matched with graph B because the slope of the equation is negative but the y-intercept is positive. Equation 5 would be matched with graph A because the slope is positive but the y-intercept is negative unfortuntly making the line turn into a negative line. Equation 6 would be matched with graph C because both the slope and y-intercept are negative causing the line to go bottom right, top left. Equation 7 would be matched with graph D because the slope and y-intercept are postive making the line become above the x-axis. And finally, equation 8 will be matched with graph A because both slope and y-intercept are negative causeing the line to go under the x-axis.
1.7:
Below there is a document which 4 linear graphs shown and 12 linear equations given. In a paragraph, describe how you matched each equation to its matching graph and the order in which you matched them. Each graph matches one linear function in slope-intercept form and one linear function in standard form There should be two equations per graph. Did you match equivalent functions first or did you try to match each function to a graph first? What graphical features did you look at or which parts of that equation did you focus on?
{http://www.wikispaces.com/i/mime/32/application/msword.png} 1.7.doc
# 1 - Graph A
# 2 - Graph D
# 3 - Graph D
# 4 - Graph A
# 5 - Graph C
# 6 - Graph C
A.) Graph C
B.) Graph B
C.) Graph A
D.) Graph D
E.) Graph C
F.) Graph B


List the math classes you have taken during high school. Write a few sentences describing your feelings toward math and why - either a good experience or a bad one. Think about what type of learner you are describe the best methods teachers use to help you understand the topics. Please describe your goals after this year - do you need this class to graduate and you are a senior, are you here for MCAS reasons, or what math class or classes do you plan on taking next year?
Answer:
Freshman year-year - Algebra 1
Sophmore year - Geometry CP = Ms. Mateeva
Junior Year - Geometry CP = Ms. Daniels