Question

Determine whether the function is even, odd, or neither even nor odd.
f(x) = 5x^2-2

Answer 1

Odd means f(-x) = -f(x) 
Even means f(x) = f(-x) 

Answer 2

Because this parabola is only shifted down and stretched, not shifted right or left, its graph is the same on the right and left sides of the axis, meaning that it is even.