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Vertex Form
Standard Form
Range
CTS
Transformations
Symmetry
100

Write in vertex form: Quadratic function has a vertical shift down 4, vertical reflection, vertical stretch by a factor of 2, and a horizontal shift left 3

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

100

What is the axis of symmetry for the equation 

y = -x2 - 4x ?

x = -2

100

The range of y = ( x + 1 )2 is..........

y is greater than or equal to 0

100

Fill in the blank to complete the square:

x2 - 10 x + _____

25

100

List the transformations for y = -3 ( x +1 )2

1.  Shift left 1

2.  Vertical stretch by factor of 3

3.  Reflect over x-axis (vertical reflection)

100

Given the following values:

Vertex ( 2,6 )        A ( 0,1 )          B  ( x, 1 )

This is the x coordinate of B.

What is 4?

200

Rewrite f(x) = x2 - 4x +3 in vertex form.

y = ( x - 2 )2 - 1

200

What is the y intercept for the function 

y = 3x2 - x -11?

( 0 -11 )

200

The range of y = -(x + 3 )2 +3 is...........

y is less than or equal to 3

200

What is the value of "c" that completes the square for x2 + 14x

c = 49

200

List the transformations for f(x) = -1/2 ( x - 5 )2 -1

1. Shift down 1.

2. Shift right 5.

3. Vertical compression by factor of 1/2.

4. Vertical Reflection

200

Given the following values:

Vertex ( -5,2 )        A (-10,8 )          B  ( x, 8 )

This is the x coordinate of B.

What is 0?

300

f(x) = - ( x + 2 )2 - 3        g(x) = - ( x-6 )2 - 1

Which function has the greater maximum value?

  g(x) = - ( x-6 )2 - 1

300

Which of the following is true with respect to the 

functions f(x) = x2 -5x +10 and g(x) = -3x2 -3x +10 ?

A   They have the same vertex

B   They have the same range

C . They have the same y intercept

C .   They have the same y intercept

300

The vertex of a parabola is ( -7, -8 ) and "a" is less than 0. What is the range?

y is less than or equal to -8

300

Use CTS to convert y = x2 - 12x +15 to 

vertex form?

x2 - 12x _______ = -15

X2 - 12x + 36 = -15 + 36

(X - 6)2 - 21 = Y

300

What is the transformed equation after the parent function has shifted right 6 units, shifted up 3 units and vertically compressed by a factor of 0.25 ?

y = 0.25( x - 6 )2 +3

300

Given the following values:

Vertex ( 0,6 )        A (-3,10 )          B  ( x, 10 )

This is the x coordinate of B.

What is 3?

400

Rewrite f(x) = 2x2 -16x + 34 in vertex form.

f(x) = 2(x - 4)2 -2

400

State the max/min for the following function:

f(x) = 2x2 - 4x + 1 


Min = -1 when x = 1

400

Which value, h or k, helps to determine the range?

k

400

How do you use CTS to convert y = x2 +8X -1 to 

vertex form?

X2 + 8X _________ = 1

X2 + 8X + 16 = -1 + 16

(X + 4)2 - 15 = Y

400

If y = 2(x - 6)2+ 3 is shifted 9 units left and down 4 units, what is the equation of the new function?

y = 2( x + 3 )2 - 1

400

Given the following values:

Vertex ( 2.5, 6 )        A ( 4,12 )          B  ( x, 12 )

This is the x coordinate of B.

What is 1?

500

Rewrite f(x) = -x2 - 6x -10 in vertex form.

y = - ( x +3 )2 - 1

500

Find the x-intercepts: f(x) = x2 - 8x + 15

(3, 0) and (5,0)

500

What is the range of y = x2 - 6x + 2 ?

y is greater than or equal to -7.

500

How do you write the perfect square for 

y = x2 - 18X + 81?





y = ( x - 9)2

500

What is the equation that results from 

y = (x + 9)2 + 3 that has shifted 9 units right

and 3 units down?

y = x2

500

Given the following values:

Vertex ( -6.5, 0 )        A ( -9, 2 )          B  ( x, 2 )

This is the x coordinate of B.

What is -4?