Question

Write g(x) = –16x + x2 in vertex form. Write the function in standard form. Form a perfect square trinomial by adding and subtracting . Write the trinomial as a binomial squared. Write the function is in vertex form, if needed. g(x) = x2 – 16x b = –16, so = 64 g(x) = (x2 – 16x + 64) – 64 g(x) = (x – )2 –

Answer 1

the answers are g(x)=(x- 8)^2-64

Answer 2

g(x) = (x - 8)² - 64 will be the answer.

Explanation:

The given function in the standard form is g(x) = -16x + x²

We have to write this function in the vertex form.

Since vertex form of a quadratic function is in the form of

f(x) = (x - h)² + k

Therefore, g(x) = x² - 16x may be written as

g(x) = x² - 16x + 64 - 64

= x² - 2(8x) + 64 - 64

= (x - 8)² - 64

Therefore, g(x) = (x - 8)² - 64 will be the answer.