Reflections and Dilations of Absolute Value Functions

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

B: 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

D: f(x) = 2.9|x|; E: f(x) = 1.2|x + 8|

Question 3

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

Revolt · Accepted Answer

C:

Question 4

Which is the equation of the function?

Revolt · Accepted Answer

A: f(x) = 3|x| + 1

Question 5

Which function is represented by the graph?

Revolt · Accepted Answer

C: –|x| + 3

Question 6

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

B: (–3, 7.5)

Question 7

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

Revolt · Accepted Answer

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

Question 8

✔ wider narrowerX higherlower

Revolt · Accepted Answer

A: wider

Question 9

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Revolt · Accepted Answer

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Question 10

all real numbers✔ all real numbers greater than or equal to 0all real numbers greater than or equal to 0.5

Revolt · Accepted Answer

B: all real numbers greater than or equal to 0

Reflections and Dilations of Absolute Value Functions Answers

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