Unit 5 Part 2 Review-Algebra 2

Function Graphs

100

What is the the line that cuts a parabola into equal halves called?

parabola

200

What is the domain of all quadratic functions?

All Real #'s

300

Describe the transformations that take place. The solid graph is the parent function and the dotted graph is the transformation: 

Right 2, down 1

400

Describe the transformations that take place. The solid graph is the parent function and the dotted graph is the transformation:

Reflection over the x-axis, left 1, up 3

500

****DOUBLE JEOPARDY!!***** What are the following characteristics of the function?

Vertex, axis of symmetry, max or min, domain & range

Vertex:(3, 1)

aos: x= 3

max or min: min 1

domain: all real numbers

range: y is greater than or = to 1

Function Transformations

100

Given the equation, describe the transformations.

y=x^2+1

Up 1

200

Given the equation, describe the transformations: 

y=1/2(x+1)^2-2

Vertical shrink by a factor of 1/2, left 1, down 2

300

Given the transformations from the parent function, write the quadratic equation: 

Right 6, down 2 

y=(x-6)^2-2

400

Given the transformations from the parent function, write the quadratic equation: 

Reflection over the x-axis, left 7, up 3

y=-(x+7)^2+3

500

Given the transformations from the parent function, write the quadratic equation:

Reflection over the x-axis, vertical stretch by a factor of 4, left 2, and up 2

y=-4(x+2)^2+2

Graphing in Vertex Form

100

What is vertex form?

y=a(x-h)²+k

200

Identify the vertex given the quadratic equation: 

y=(x-4)^2-1

(4, -1)

300

Write the equation for the axis of symmetry for the quadratic equation: 

y=(x+2)^2-1

x=-2

400

Which of the following is the correct graph of the quadratic equation: 

y=4(x-3)^2+1

B

500

Write the equation of the quadratic equation given the graph below: 

y=-(x-2)^2+4

Graphing in Standard Form

100

Fill in the blank: 

If a is positive, the graph opens ______ and is the  ______________ value of the graph

Up

Minimum

200

What is the y-intercept of the quadratic equation 

y=2x^2+8x-12

(0, -12)

300

What is the x-value of the vertex for the quadratic equation (aka, what is the AOS?!)

y=3x^2-12x+4

x=2

400

Find the y-value of the vertex for the quadratic equation 

y=-2x^2+8x-6

y=2

500

Which of the following is the correct graph of the quadratic equation?

y=x^2+2x-1

C

Mixed/Random

100

Which of the following is the widest graph?

y=x²,  y=5x², y=1/3x²

y=1/3x²

200

The graph of y=-3x² opens _________;

Therefore, the y-coordinate of the vertex is the _____________ value.

down

maximum

300

When describing transformations, when a>1 we have a ______________ ______________ in the graph.

When 0<a<1, we have a __________________ _______________ in the graph.

vertical stretch (think skinnier)

vertical compression (think wider)

400

Where did Mrs. Henderson go to High School? 

And where did she go to college?

Crandall HS - Go Pirates!

Texas A&M! Whoop!

500

Name at least three sports/groups/activities Mrs. Henderson was a part of in High School

There are so many... we will discuss....