Describe how the graph of the equation relates to the graph $$y = x ^ { 2 }$$
-$$f ( x ) = \frac { 1 } { 5 } x ^ { 2 } - 6$$
A) vertical stretching by a factor of 5 and a translation 6 units to the right
B) vertical shrinking by a factor of $\frac { 1 } { 5 }$ and a translation 6 units down
C) vertical stretching by a factor of 5 and a translation 6 units down
D) vertical shrinking by a factor of $\frac { 1 } { 5 }$ and a translation 6 units to the left

Question

Quizplus · Accepted Answer

The coefficient $\frac{1}{5}$ in front of $x^2$ causes a vertical shrinking by a factor of $\frac{1}{5}$, and the $-6$ at the end of the equation translates the graph 6 units down.

Describe How the Graph of the Equation Relates to the Graph