Free Printable TRANSFORMATIONS

1.

Identify the vertex: $y=2\left(x-1\right)^2+5$

a)

(2, 1)

b)

(1, 5)

c)

(-1, 5)

d)

(5, -1)

2.

$y=\left(x+4\right)^3-8$ Identify the point of inflection:

a)

(-4, 8)

b)

(4, -8)

c)

(-8, -4)

d)

(-4, -8)

3.

$y=-\left|x+9\right|+1$ Identify the vertex:

a)

(-9, 1)

b)

(9, 1)

c)

(1, 9)

d)

(9, -1)

4.

How does the K change the equation?

a)

horizontal shift

b)

dilation

c)

vertical shift

d)

reflection

5.

Which function has a range of all real numbers?

a)

quadratic function

b)

cubic function

c)

absolute value function

d)

square root function

6.

$y=-\left(x+5\right)^2+3$

Identify the transformations of the function:

a)

vertical shrink, left 5, up 3

b)

reflection, right 5, up 3

c)

vertical stretch, right 5, up 3

d)

reflection, left 5, up 3

7.

Write the equation

a)

$y=\left(x-2\right)^2+4$

b)

$y=-\left(x-2\right)^2+4$

c)

$y=\left(x+2\right)^3+4$

d)

$y=\left(x+2\right)^2+4$

8.

Name the Domain & Range

a)

D: all real numbers
R: all real numbers

b)

D: all real numbers
R: y $\ge$ -1

c)

D: all real numbers
R: y $\le$ 2

d)

D: all real numbers
R: y $\ge$ 2

9.

When the A value is positive in a quadratic equation what happens?

a)

graph faces up

b)

graph faces down

c)

vertical shrink

d)

vertical stretch

10.

When the A value is negative in an absolute value function what happens?

a)

vertical shrink

b)

vertical stretch

c)

graph faces up

d)

graph faces down

11.

Given the equation $y=\left(x+4\right)^2+1$ find the new equation with a transformation of shifting up 3

a)

$y=\left(x+4\right)^2-2$

b)

$y=\left(x+7\right)^2+1$

c)

$y=\left(x+4\right)^2+4$

d)

$y=\left(x+4\right)^2+3$

12.

Name the Domain and Range

a)

D: all real numbers
R: y $\ge3$

b)

D: all real numbers
R: all real numbers

c)

D: all real numbers
R: y $\le3$

d)

Domain: x $\ge3$
R: all real numbers

13.

What is the y-intercept?

a)

(-4, 3)

b)

(3, -4)

c)

(-1, 0)

d)

(0, -1)

14.

What is the vertex?

a)

(-3, 2)

b)

(2, -3)

c)

(3, 2)

d)

(3, -2)

15.

What is the y-intercept?

a)

(0, 4)

b)

(0, -4)

c)

(4, 0)

d)

(-4, 0)

TRANSFORMATIONS

Total questions: 15

Worksheet time: 9mins

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