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ons from the reciprocal parent function. Write n identify the asymptotes. 2. Reflected across the x-axis, then translated 5 units up. Vertically stretched by a factor of 2 , reflected

User MaxF
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Final answer:

The question involves applying transformations to the reciprocal parent function and finding the new asymptotes. After a reflection, translation, and stretching, the new function is f(x) = -2/x + 5, with vertical asymptote x = 0 and horizontal asymptote y = 5.

Step-by-step explanation:

The question is asking to apply a series of transformations to the reciprocal parent function, identify the asymptotes, and analyze reflections and stretches.

The reciprocal parent function is f(x) = 1/x. When we reflect this function across the x-axis, it changes to f(x) = -1/x. Then, translating it 5 units up gives us f(x) = -1/x + 5.

Vertically stretching by a factor of 2 would then result in f(x) = -2/x + 5. The asymptotes of the reciprocal function are the lines x = 0 (vertical asymptote) and y = 0 (horizontal asymptote).

After the transformations, we still have a vertical asymptote at x = 0, and the horizontal asymptote moves to y = 5 due to the vertical translation.

User Orangutech
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