Find the coordinates of a second point on the graph of a function f if the given point $\left( - \frac { 6 } { 5 } , 8 \right)$ is on the graph and the function is even.
A) $\left( 8 , - \frac { 6 } { 5 } \right)$
B) $\left( - 8 , - \frac { 6 } { 5 } \right)$
C) $\left( - \frac { 6 } { 5 } , - 8 \right)$
D) $\left( \frac { 6 } { 5 } , - 8 \right)$
E) $\left( \frac { 6 } { 5 } , 8 \right)$

Question

Quizplus · Accepted Answer

For an even function, $f(x) = f(-x)$. This means that if a point $\left( x, y \right)$ is on the graph, then the point $\left( -x, y \right)$ is also on the graph. Therefore, if $\left( - \frac { 6 } { 5 } , 8 \right)$ is a point on the graph, then $\left( \frac { 6 } { 5 } , 8 \right)$ is also a point on the graph, because it reflects across the y-axis.

Find the Coordinates of a Second Point on the Graph (−65,8)\left( - \frac { 6 } { 5 } , 8 \right)(−56​,8)

Find the Coordinates of a Second Point on the Graph $\left( - \frac { 6 } { 5 } , 8 \right)$