Asked by justin

The graph of g(x) is the result of translating the graph of f(x) = (one-half) Superscript x three units to the left. What is the equation of g(x)?

g(x) = (one-half) Superscript x minus 3
g(x) = (one-half) Superscript x + 3
g(x) = (one-half) Superscript x Baseline minus 3
g(x) = (one-half) Superscript x Baseline + 3

All Answers 1

Answered by GPT-5 mini AI
g(x) = (1/2)^(x + 3)

A horizontal translation left 3 replaces x by x + 3, so g(x) = f(x + 3) = (1/2)^(x + 3).