Enter Title

Transformations Vertex

100

Describe the following transformation

y = -(x – 2)²

-Flipped

-Right 2

200

Describe the following transformation

y = (x + 3) ² -1

-Left 3

-Down 1

300

Describe the following transformation

y = 1/3(x + 2) ² + 3

-Compress

-Left 2

-Up 3

400

Describe the following transformation

-1/2(x – 1) ² + 3

-Flipped

-Compress

-Right 1

-up 3

500

Describe the following transformation

y = -6/5(x – 1) ² - 9 

-Flipped

-Stretch

-Right 1

-Down 9

Writtings Transformations

100

Write the equation for the function y = x² with the following transformation

reflect across the x-axis, shift down 1

 

y=-x²-1

200

Write the equation for the function y = x² with the following transformation

vertically stretch by a factor of 3, shift right 5 and up 1

y=3(x-5)²+1

300

Write the equation for the function y = x² with the following transformation

reflect across the x-axis , shift down 8

y=-x²-8

400

Write the equation for the function y = x² with the following transformation

vertically stretch by a factor of 4, shift left 3 and up 2

y=4(x+3)²+2

500

Write the equation for the function y = x² with the following transformation

vertically stretch by a factor of 4, shift left 3 and up 2

y=4(x+3)+2

Identifying parts of a Quadratic function

100

Three other words that mean "x-intercept"

Solutions, Zeros, Roots

200

Given the vertex (4,8)

what is the axis of symetry?

x=4

300

if the vertex of a positive quadratic function is (0,9), what is the range?

y>9

400

if the vertex of a negative quadratic function is (5,-7), what is the range?

y<-7

500

if the vertex of a negative quadratic function is (-3,12)

1)what is the range?

2)axis of symetry 

y<12

x=-3

Solving Quadratic Functions

100

What is the roots for the equation

y=-(x-1)²+25

x={-4,6}

200

What is the roots for the equation

x²+10x=24

x={-12,2}

300

What is the roots for the equation

4x²+5=6

x={-1/2,1/2}

400

What is the roots for the equation

x²+15=23

x={-2.8 , 2.8 }

500

What is the roots for the equation

x²+18x=4x-49

x={ -7 }

Vocabulary

100

A parabola is ______.

The "U" shape that a quadratic function has on a graph"

200

A vertex is _____

The turning point in a parabola.

300

A parent function is____.

The original equations of a function.

400

A maximum is ________.

A minimum is _________.

A maximum is when the vertex is at the highest point.

A minimum is when the vertex is at the lowest point.

500

An axis of symetry is _______.

A vertical line that goes down the center od a parabola and divides it into two equal parts.