Absolute Value Functions and Translations

Question 1

Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

Revolt · Accepted Answer

It is wider and shifted 3 units to the right.

Question 2

Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.f(x) = |x|f(x) = |x – 2|f(x) = |x| + 3f(x) = 2.9|x|f(x) = 1.2|x + 8|f(x) = 0.7|x| – 3.2

Revolt · Accepted Answer

f(x) = 2.9|x|; f(x) = 1.2|x + 8|

Question 3

Which graph represents the function f(x) = 2|x|?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3109/3109-06/3109-06-04/3109-06-04-20/3109-06-04-20-03/3109-06-04-20-03-image3.png

Question 4

Which function is represented by the graph?

Revolt · Accepted Answer

–|x| + 3

Question 5

The graph of f(x) = |x| has been stretched by a factor of 2.5. If no other transformations of the function have occurred, which point lies on the new graph?

Revolt · Accepted Answer

(–3, 7.5)

Question 6

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.

Revolt · Accepted Answer

The parent function and this function have the same domain.; The range of the function is all real numbers less than or equal to –2.

Absolute Value Functions and Translations Answers

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