Absolute Value Functions

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What is the vertex of f(x) = |x + 8| - 3?

A (-8, -3)

Which statement is true about f(x) = -6|x + 5| - 2?

A The graph of f(x) is a horizontal compression of the graph of the parent function.

The standard form of an absolute value function is f(x)=a|x-h|+k. Which of the following represents the vertex?

D (h,k)

What is the range of the absolute value function below?

NOT D

Which function has a vertex at (2, 6)?

B f(x) = 2|x - 2| + 6

Which of the following is the parent function of all absolute value functions?

B f(x) = |x|

Which function is a translation of the parent absolute value function?

B f(x) =|x+6|

Given the function f(x) = 2|x + 6| - 4, for what values of x is f(x) = 6?

B x = -1, x = -11

Which of the following is the graph of f(x)= |x| translated 2 units right, 2 units up, and dilated by a factor of 1/3?

C

Which of the following is the value of a when the function f(x)= 3|x| is written in the standard form of an absolute value function?

D 3


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