Explanation:
Wherever you see an 'x', replace it with '-x'. Simplify.
f(x) = 3x^2 - 5x + 4
f(-x) = 3(-x)^2 - 5(-x) + 4
f(-x) = 3x^2 + 5x + 4
The only change that happened is the -5x turned into +5x
The 3x^2 term did not change because (-x)^2 = x^2 for all real numbers x.
You can see this through an example like squaring -7 which turns into 49, and so does squaring 7. This means (-7)^2 = 7^2 = 49.