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| + <em>k</em> where:
<em>k</em> > 0, shifts up |<em>k </em>| units
<em>k</em> < 0, shifts down |<em>k </em>| 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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