Question

Describe how the graph of g(x) is related to the parent function f(x).

f(x) = 4x
g(x) = 4x – 2
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Question 9 options:

A. Subtracting 2 from x translates the parent graph 2 units to the right.

B. Subtracting 2 from x translates the parent graph 2 units to the left.

C. Subtracting 2 from x translates the parent graph 2 units down.

D. Subtracting 2 from x translates the parent graph 2 units up.

Answer 1

C

Explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) = 4x and g(x) = 4x - 2

That is g(x) is the graph of f(x) shifted 2 units down