Write the function in vertex form. identify the vertex.
y = 2x^2 - 4x + 5

Step-by-step explanation:

The vertex form of a quadratic function f(x) = ax² + bx + c:

Where (h, k) is a vertex.

We have:

Calculate h and k:

Finally:

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function