Describe How the Graph of the Equation Relates to the Graph

Multiple Choice

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