Question

Which graph represents an even function?
​

Answer 1

Explanation:

The first graph (the parabola opening down) represents an even function, since this graph is symmetric with respect to the y-axis.

Answer 2

First graph represents an even function

Explanation:

For an even function we have f(x) = f(-x)

In the given graphs let us substitute values

In first graph

f(2) = 0

f(-2) = 0

So f(2) = f (-2)

Graph is even

In second graph

f(2) = 0

f(-2) = 4

So f(2) ≠ f (-2)

Graph is not even

First graph represents an even function