A quadratic function is given.

f(x) = x2 − 8x + 8
(a) Express the quadratic function in standard form.

I think you are dumb.

To express the quadratic function in standard form, we need to rearrange the terms so that the quadratic term is first, followed by the linear term, and then the constant term.

Given function:
f(x) = x^2 - 8x + 8

Step 1: Arrange the terms in descending order of powers.
f(x) = x^2 - 8x + 8

Step 2: Combine like terms.
f(x) = x^2 - 8x + 8

So, the quadratic function expressed in standard form is:
f(x) = x^2 - 8x + 8

To express the quadratic function in standard form, we need to rearrange the terms in descending order, with the squared term leading the expression, followed by the linear term, and then the constant term.

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

In this case, the function is already in standard form because the terms are arranged in descending powers of x.

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

complete the square, by adding and subtracting 16, so things are unchanged:
= x^2-8x+16 +8-16
= (x-4)^2 - 8