Reflections and Dilations of Absolute Value Functions — Quiz

Question 1

Which absolute value function, when graphed, represents the parent function, f of x is equal to absolute value of x , reflected over the x -axis and translated 1 unit to the right?

Revolt · Accepted Answer

f of x is equal to negative start absolute value x minus 1 end absolute value

Question 2

Which absolute value function has a graph that is wider than the parent function, f of x is equal to absolute value of x , and is translated to the right 2 units?

Revolt · Accepted Answer

f of x is equal to 3 fourths start absolute value x minus 2 end absolute value

Question 3

Which graph represents the function f of x is equal to negative absolute value of x minus 2 ?

Revolt · Accepted Answer

Image with description A V-shaped graph that opens downward, has vertex at 0 comma negative 2, and passes through the points negative 2 comma negative 4, and 2 comma negative 4.

Question 4

The graph of the parent absolute value function f⁡(x)=|x| includes vertex V⁡(0,0) and points T⁡(−4,4) and W⁡(5,5) The graph of the absolute value function g⁡(x)=3⁢|x| is a dilation of the graph of f⁡(x) Plot V^′ , T^′ , and W^′ , the images of V , T , and W after the graph of f⁡(x) is dilated. Plot each point on the coordinate grid.

Revolt · Accepted Answer

point; 0; -4; 12; 5; 15

Question 5

Determine the domain and range of the function y=−7⁢|x+5|+4 Enter your answers in the boxes.

Revolt · Accepted Answer

(-∞,∞)|(-∞,4]

Question 6

Which graph represents the function f of x is equal to 1 third absolute value of x ?

Revolt · Accepted Answer

Image with description A V-shaped graph that opens upward, has vertex at the origin, and passes through the points negative 3 comma 1, and 3 comma 1.

Question 7

Which graph represents the function f of x is equal to negative start absolute value x plus 3 end absolute value ?

Revolt · Accepted Answer

Image with description A V-shaped graph that opens downward, has vertex at 3 comma 0, and passes through the points 4 comma negative 1, and 0 comma negative 3.

Question 8

Which graph represents the function f of x is equal to negative start absolute value x minus 2 end absolute value minus 1 ?

Revolt · Accepted Answer

Image with description A V-shaped graph that opens downward, has vertex at 2 comma negative 1, and passes through the points 0 comma negative 3, and 4 comma negative 3.

Question 9

Which absolute value function, when graphed, represents the parent function, f of x is equal to absolute value of x , reflected over the x -axis?

Revolt · Accepted Answer

f of x is equal to negative absolute value of x

Question 10

Which absolute value function, when graphed, will be narrower than the graph of the parent function, f of x is equal to absolute value of x ?

Revolt · Accepted Answer

f of x is equal to 4 absolute value of x

Reflections and Dilations of Absolute Value Functions — Quiz Answers

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