$$\text { How can the graph of } f ( x ) = \frac { 4 } { ( x + 2 ) ^ { 2 } } \text { by obtained from the graph of } y = \frac { 1 } { x ^ { 2 } } ?$$
A) By making a horizontal shift of 2 units to the left and a vertical shift of 4 units down
B) By making a horizontal shift of 2 units to the left and stretching vertically by a factor of 4
C) By making a horizontal shift of 2 units to the right and stretching vertically by a factor of 4
D) By making a horizontal shift of 4 units to the right and a vertical shift of 2 units up

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{4}{(x+2)^2}$ can be obtained from $y = \frac{1}{x^2}$ by shifting the graph 2 units to the left (due to the $x+2$ in the denominator) and stretching it vertically by a factor of 4 (due to the 4 in the numerator).

How can the graph of f(x)=4(x+2)2 by obtained from the graph of y=1x2?\text { How can the graph of } f ( x ) = \frac { 4 } { ( x + 2 ) ^ { 2 } } \text { by obtained from the graph of } y = \frac { 1 } { x ^ { 2 } } ? How can the graph of f(x)=(x+2)24​ by obtained from the graph of y=x21​?

$\text { How can the graph of } f ( x ) = \frac { 4 } { ( x + 2 ) ^ { 2 } } \text { by obtained from the graph of } y = \frac { 1 } { x ^ { 2 } } ?$