Answer the question
-$$\text { How can the graph of } f ( x ) = \frac { 1 } { x - 4 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } ?$$
A) By making a horizontal shift of 4 units to the right and a vertical shift of 6 units up
B) By making a horizontal shift of 4 units to the left and a vertical shift of 6 units up
C) By making a horizontal shift of 6 units to the right and a vertical shift of 4 units up
D) By making a horizontal shift of 6 units to the left and a vertical shift of 4 units down

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{1}{x-4} + 6$ can be obtained from $y = \frac{1}{x}$ by shifting the graph 4 units to the right (to account for $x-4$ in the denominator) and then shifting it 6 units up (to account for the "+6" outside the fraction).

Answer the Question - How can the graph of f(x)=1x−4+6 be obtained from the graph of y=1x?\text { How can the graph of } f ( x ) = \frac { 1 } { x - 4 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } ? How can the graph of f(x)=x−41​+6 be obtained from the graph of y=x1​?

Answer the Question
- $\text { How can the graph of } f ( x ) = \frac { 1 } { x - 4 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } ?$