Question

State equation of vertical asymptote?

𝑦 = (𝑥 − 2)^2 + 5

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Answer 1

No asymptotes.

Explanation:

`y=(x-2)^2+5=x^2-4x+9`

This is a polynomial and is defined for all `x`. Vertical asymptotes occur where a function is undefined for some values of `x`. Since the function is defined for all `x` there are no asymptotes. This can be seen from the graph of the function.

graph{y=x^2-4x+9 [-28.1, 36.86, -7, 25.45]}