Question

Which of the following is the function represented by the graph?

A. y = 1/(x + 3) - 5 NOT A


B. y = 1/(x - 3) + 5


C. y = 1/(x + 5) - 3


D. y = 1/(x - 5) + 3

Consider the graph below.


On a coordinate plane, 2 curves are shown. A curve in quadrant 1 opens up and to the right and approaches x = 5. A curve in quadrants 1, 2 and 4 opens down and to the left and approaches x = 5 in quadrant 4.

Answer 1

D. y = 1/(x-5) + 3

Explanation:

It is a shift right 5 units (which is x-5) and up 3 units (which is +3).

Answer 2

It is D. y= 1/(x-5)

+3Step-by-step explanation:

This is becuase when this answer is typed into a graphing calculator (I prefer Desmos) the graphs match.

:)