Graph the Equation $y = \frac { x ^ { 2 } } { x ^ { 2 } + 13 }$

Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.
- $y = \frac { x ^ { 2 } } { x ^ { 2 } + 13 }$

A) local minimum: $\left( 0 , \frac { 1 } { 13 } \right)$
no inflection points


B) local minimum: $( 0,0 )$
no inflection points

C) local minimum: $(0,0)$
inflection points: $\left(-\frac{\sqrt{39}}{3}, \frac{1}{4}\right) ,\left(\frac{\sqrt{39}}{3}, \frac{1}{4}\right)$



D) _local minimum: $\left(0,-\frac{1}{13}\right)$
no inflection points