Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.? $\left( - \frac { 1 } { 2 } , 5 \right)$ ?
A) $\left( - \frac { 1 } { 2 } , - 5 \right)$
B) $\left( \frac { 1 } { 2 } , 5 \right)$ ?
C) $\left( \frac { 1 } { 2 } , - 5 \right)$ ?
D) $\left( - \frac { 1 } { 2 } , 5 \right)$ ?
E)None of the above

Question

Quizplus · Accepted Answer

For an even function, $f(x) = f(-x)$. Given a point $\left( - \frac { 1 } { 2 } , 5 \right)$, its symmetric point across the y-axis would be $\left( \frac { 1 } { 2 } , 5 \right)$, maintaining the same y-value but with the opposite x-value.

Find the Coordinates of a Second Point on the Graph (−12,5)\left( - \frac { 1 } { 2 } , 5 \right)(−21​,5)

Find the Coordinates of a Second Point on the Graph $\left( - \frac { 1 } { 2 } , 5 \right)$