$$\text { How can the graph of } f ( x ) = \frac { 1 } { x } + 15 \text { be obtained from the graph of } y = \frac { 1 } { x } ?$$
A) By making a vertical shift of 15 units up
B) By making a vertical shift of 15 units down
C) By making a horizontal shift of 15 units to the left
D) By making a horizontal shift of 15 units to the right

Question

Quizplus · Accepted Answer

Adding 15 to the function $f(x) = \frac{1}{x}$ results in a vertical shift of the graph upwards by 15 units, making the correct transformation a vertical shift up.

How can the graph of f(x)=1x+15 be obtained from the graph of y=1x?\text { How can the graph of } f ( x ) = \frac { 1 } { x } + 15 \text { be obtained from the graph of } y = \frac { 1 } { x } ? How can the graph of f(x)=x1​+15 be obtained from the graph of y=x1​?

$\text { How can the graph of } f ( x ) = \frac { 1 } { x } + 15 \text { be obtained from the graph of } y = \frac { 1 } { x } ?$