Answer the question
-$$\text { How can the graph of } f ( x ) = \frac { 1 } { ( x - 9 ) ^ { 2 } } + 15 \text { be obtained from the graph of } y = \frac { 1 } { x ^ { 2 } } ?$$
A) By making a horizontal shift of 15 units to the right and a vertical shift of 9 units down
B) By making a horizontal shift of 15 units to the left and a vertical shift of 9 units up
C) By making a horizontal shift of 9 units to the right and a vertical shift of 15 units up
D) By making a horizontal shift of 9 units to the left and a vertical shift of 15 units down

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{1}{(x - 9)^2} + 15$ can be obtained from the graph of $y = \frac{1}{x^2}$ by shifting the graph 9 units to the right (due to the $x - 9$ in the denominator) and then shifting it 15 units up (due to the $+ 15$ added to the fraction).

Answer the Question - A) by Making a Horizontal Shift of 15 Units to of }

Answer the Question
- A) by Making a Horizontal Shift of 15 Units to of }