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