2
AssignmentMultiple Choice

Reflections of Exponential Functions

Question 2 • CA-Algebra I A – 6002

Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?

Answer
A
h(x) = 2(0.35)x
B
h(x) = –2(0.35)x
C
h(x) = 2(0.35)–x
D
h(x) = 2(–0.35)–x

Explanation

A reflection across the y-axis is found by replacing x with −x in the function. Thus f(−x) = 2(0.35)^(−x), which is choice C, h(x) = 2(0.35)^(−x).

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