Describe how the graph of the equation relates to the graph of y $y = x ^ { 2 }$
-$$f ( x ) = \frac { 1 } { 5 } x ^ { 2 } - 3$$
A) vertical stretching by a factor of 5 and a translation 3 units to the right
B) vertical shrinking by a factor of $\frac { 1 } { 5 }$ and a translation 3 units to the left
C) vertical shrinking by a factor of $\frac { 1 } { 5 }$ and a translation 3 units down
D) vertical stretching by a factor of 5 and a translation 3 units down

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 "-3" at the end of the equation translates the graph 3 units down.

Describe How the Graph of the Equation Relates to the Graph