Quiz about transformations

Question 1

What is the equation of the absolute value function?

Accepted Answer

f(x)= |x| + 4

Answer

f(x)= |x+4|

Answer

f(x)= |x-4|

Answer

f(x)= |x| - 4

Question 2

What is the equation of the graph below?

Accepted Answer

f(x) = I x - 2 I

Answer

f(x) = I x + 2 I

Answer

f(x) = I x + 2 I +2

Answer

f(x) = I x - 2 I +2

Question 3

Name the parent function.

Accepted Answer

absolute value

Answer

linear

Answer

quadratic

Answer

cubic

Question 4

.
The blue graphs is the parent function f(x)=|x|, the red must be

Accepted Answer

g(x)=|x-2|

Answer

g(x)=|x+2|

Answer

g(x)=|x|+2

Answer

g(x)=|x|-2

Question 5

Which equation shows a function that is translated left 4 and 7 up?

Accepted Answer

y = |x + 4| + 7

Answer

y = (x - 4)² + 7

Answer

y = (x + 7)² - 4

Answer

y = |x + 4| - 7

Question 6

Name the parent function.

Accepted Answer

linear

Answer

constant

Answer

absolute value

Answer

quadratic

Question 7

Name the parent function.

Accepted Answer

absolute value

Answer

linear

Answer

quadratic

Answer

cubic

Question 8

Name the parent function.

Accepted Answer

absolute value

Answer

constant

Answer

square root

Answer

linear

Question 9

Which equation is an absolute value graph shifted right 5 units?

Accepted Answer

y = |x - 5|

Answer

y = |x + 5|

Answer

y = |x| + 5

Answer

y = -5|x|

Question 10

What shifts have occurred?

Accepted Answer

right 1, up 5

Answer

left 1, up 5

Answer

left 1, down 5

Answer

right 1, down 5

Question 11

What type of function is shown?

Accepted Answer

absolute value

Answer

linear

Answer

quadratic

Answer

square root

Question 12

How did the equation shift from the parent function? y=x+2

Accepted Answer

translated up 2

Answer

translated down 2

Answer

steeper

Answer

translated right 2

Question 13

Given f(x) = 2x +3.  Translate the function down 2 and write the new rule.

Accepted Answer

g(x) = 2x +1

Answer

g(x) = 2x + 5

Answer

g(x)= x + 3

Answer

g(x) = 2x +3

Question 14

Which function defines the graph?

Accepted Answer

f(x) = |x + 4| + 3

Answer

f(x) = |x - 4| + 3

Answer

f(x) = |x - 3| + 4

Answer

f(x) = |-x + 4| + 3

Question 15

Which graph represents the parent function of an Absolute Value?

Accepted Answer

Blue

Answer

Black

Answer

Orange

Answer

Red

Question 16

What is the equation of the absolute value function?

Accepted Answer

f(x)= |x| + 4

Answer

f(x)= |x+4|

Answer

f(x)= |x-4|

Answer

f(x)= |x| - 4

Question 17

What is the vertex of the absolute value function?

Accepted Answer

(0, 4)

Answer

(4, 0)

Answer

(-infinity, infinity)

Answer

[4, infinity)

Question 18

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

The graph of g is a vertical translation 2 units up of the graph of f

Answer

The graph of f is a horizontal translation two units left of g

Answer

The graph of g is a vertical stretch by a factor of 2 of the graph of f

Answer

The graph of g is a reflection of the graph of f

Question 19

How did the equation shift from the parent function? y=(x)+7

Accepted Answer

Up 7

Answer

Down 7

Answer

Less steep

Answer

Steeper

Question 20

Which represents the parent function shifted down two units?

Accepted Answer

f(x) = x - 2

Answer

f(x) = -2x

Answer

f(x) = x + 2

Answer

f(x) = 2x

transformations

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