If f(x) is an even function, which statement about the graph of f(x) must be true?
-it has rotational symmetry about the origin.
-it has line symmetry about the line y = x.
-it has line symmetry about the y-axis.
-it has line symmetry about the x-axis

An even function f(x) has the below mentioned property.

It means that when we replace x with -x then there is no change in the original function.

In other words, the graph of the even function has mirror image about the y axis.

Hence, from the given options, option C is the correct option.

Therefore, the correct statement should be

It has line symmetry about the y-axis

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

if you would like with a question it is easy to get an answer by including some or multi choice options

step-by-step explanation: