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VOCABULARY
AXIS OF SYMMETRY
VERTEX
Transformations
GRAPHS
100
The u-shaped graph shown by a quadratic.
What is a PARABOLA?
100
This is the formula for the axis of symmetry.
What is x = -b/2a ?
100

Find the vertex of y = (x+4)2-33 

What is (-4,-33)?

100

Given parent function f(x)=x3 

State all transformations from the parent function

g(x)= -x3

What is reflection over the x-axis?

100
A parabola will look like this if a is negative.
What is open downwards with the vertex as a maximum?
200
The line that passes through the vertex and divides a parabola into two symmetric parts.
What is the AXIS OF SYMMETRY?
200

This is the axis of symmetry for the equation y = (x+2)2-1

What is x = -2?

200

Find the vertex y = 5x2+7

What is (0,7)?

200

State the name of the parent function below.

f(x)=x3

What is cubic?

200
Identify the vertex of the following graph.
What is (4,0)?
300
The lowest or highest point on a parabola.
What is the VERTEX?
300

This is the axis of symmetry for y=(x+1)2

What is x = -1?

300

The vertex of y = x^2 is this ordered pair.

What is (0,0)?

300
Given parent function f(x)= x2​​​​

State all transformations from the parent function

g(x)= (x-3)2

What is Right Three?

300
Identify the axis of symmetry of the following graph.
What is x=2?
400
These are three names for the place or places a parabola crosses the x-axis.
What are x-intercepts, roots and zeros?
400

This is the axis of symmetry for y = -4x^2 + 3.

What is 0?

400

This point is the vertex of y = -3x^2 + 18x - 13.

What is (3,14)?

400

Given parent function f(x)=x2.  Write a new function with the following transformations.

Left 3

Vertical Stretch by a factor of 11

What is g(x) = 11(x+3)2?

400

Determine the range of the parabola below.

y=-3(x-5)2+11

What is y is less than or equal to 11?

500
This is the standard form of a quadratic equation.
What is ax^2 + bx + c = 0 ?
500
This is the axis of symmetry for y = -2x^2 + 8x + 12.
What is x = 2?
500

The vertex of y = -4x^2 + 3 is this.

What is (0,3)?

500

Given parent function f(x)=x3

Write a new function given the transformations below.

Vertical Compression of 0.3

Reflection over the x-axis

What is g(x)=-0.3x3 ?

500

Determine if the following parabola will have a maximum or minimum.

y=3x2-6x+1

What is a minimum?