Answer the question
-How can the graph of $f ( x ) = \frac { 6 } { ( x + 4 ) ^ { 2 } }$ by obtained from the graph of $y = \frac { 1 } { x ^ { 2 } }$ ?
A) By making a horizontal shift of 4 units to the left and a vertical shift of 6 units down
B) By making a horizontal shift of 4 units to the right and stretching vertically by a factor of 6
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 4 units to the left and stretching vertically by a factor of 6

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{6}{(x + 4)^2}$ can be obtained from $y = \frac{1}{x^2}$ by shifting it 4 units to the left (due to the $x + 4$ in the denominator) and stretching it vertically by a factor of 6 (due to the multiplication by 6).

Answer the Question -How Can the Graph Of f(x)=6(x+4)2f ( x ) = \frac { 6 } { ( x + 4 ) ^ { 2 } }f(x)=(x+4)26​

Answer the Question
-How Can the Graph Of $f ( x ) = \frac { 6 } { ( x + 4 ) ^ { 2 } }$