3
QuizMultiple Choice

Functions and Transformations

Question 3 • EAP-Algebra Functions and Data Analysis A CR

The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd?

Answer
A
reflection over the x-axis
B
vertical stretch by a factor of 7
C
translation 8 units to the right
D
horizontal compression by a factor of

Explanation

Since h(x) = 12x^8 + 49 is even, h(-x) = h(x). Reflecting it over the x-axis or applying a vertical stretch preserves this symmetry, so those functions remain even. Translating it 8 units right gives h(x - 8), which is generally neither even nor odd because its symmetry is shifted away from the y-axis and it does not have origin symmetry.

AI-written and checked against the verified answer.

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