Question

Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|.

Answer 1

Answer:

g(x) = |x| - 7

Step-by-step explanation:

Given the parent function, g(x) = |x|, and its vertex at (0, 0):

Vertical translations: g(x) = |x| + k where:

k > 0, shifts up |k | units

k < 0, shifts down |k | units

Thus, a vertical translation of the parent graph can be represented with the following absolute value function:

g(x) = |x| - 7

where the vertex occurs at point, (0, -7).

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