7
QuizMultiple Choice

Functions and Transformations — Quiz

Question 7 • Precalculus

The function h of x is equal to 12 x to the 8th power plus 49 is an even function. Which transformation of h of x would result in a function that is neither even nor odd?

Answer
A
translation 8 units to the right
B
vertical stretch by a factor of 7

Explanation

A horizontal translation 8 units to the right gives h(x − 8) = 12(x − 8)^8 + 49, which is generally neither even nor odd because it is no longer symmetric about the y-axis or the origin. A vertical stretch by 7 gives 7h(x), which remains even because multiplying an even function by a constant preserves its symmetry.

AI-written and checked against the verified answer.

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