Absolute Value Functions and Translations

Question 1

Which graph represents the function h(x) = |x – 3|?

Revolt · Accepted Answer

[Image: On a coordinate plane, an absolute value graph has...]

Question 2

The parent absolute value function is translated 3 units and 1 unit.

Revolt · Accepted Answer

up

Question 3

The function that is graphed is f(x) = .

Revolt · Accepted Answer

|x + 3| + 1

Question 4

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x| + k is solid.

Revolt · Accepted Answer

✔ up; Positive values of k shift the graph .: up; Negative values of k shift the graph .: down

Question 5

✔ downleftrightup

Revolt · Accepted Answer

✔ down

Question 6

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x – h| is solid.

Revolt · Accepted Answer

✔ right; Positive values of h shift the graph .: right; Negative values of h shift the graph .: left

Question 7

down✔ leftX rightup

Revolt · Accepted Answer

✔ left

Question 8

The function g(x) = |x – 6| – 8 is graphed. What is the range?

Revolt · Accepted Answer

{y | y ≥ –8}

Question 9

The parent absolute value function is translated 3 units and 1 unit.

Revolt · Accepted Answer

left; The parent absolute value function is translated 3 units and 1 unit.: left; The parent absolute value function is translated 3 units and 1 unit.: up; The function that is graphed is f(x) = .: |x + 3| + 1

Question 10

Which function is represented by the graph?

Revolt · Accepted Answer

The parent absolute value function is translated 3 units and 1 unit.: left; The parent absolute value function is translated 3 units and 1 unit.: up; The function that is graphed is f(x) = .: |x + 3| + 1

Absolute Value Functions and Translations Answers

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