Question

Which statement correctly describes the graph of g(x) = f(x - 9)?
O A.
Function ghas the same horizontal and vertical asymptotes as function f.
ОВ.
Function ghas the same horizontal asymptote as fand a vertical asymptote at x = 6.
OC. Function ghas the same horizontal asymptote as fand a horizontal asymptote at x = 9.
D. Function g has the same vertical asymptote as fand a horizontal asymptote at y=-5.

Answer 1

Answer:

B Function ghas the same horizontal asymptote as fand a vertical asymptote at x = 6.

Answer 2

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

We have to determine

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph; $\rm g(x) = f(x - 9)$

The straight-line x=6 is a vertical asymptote of the graph of the function $\rm g(x) = f(x - 9)$ if at least one of these conditions is true:

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

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