The first three steps in writing f (x) = 40x + 5x2 in vertex form are shown.

Write the function in standard form. f (x) = 5x2 + 40x

Factor a out of the first two terms. f (x) = 5 (x2 + 8x)

Form a perfect square trinomial. = 16

f (x) = 5 (x2 + 8x + 16) - 5 (16)

What is the function written in vertex form?

A. f (x) = 5 (x + 4) - 80

B. f (x) = 5 (x + 8) - 80

C. f (x) = 5 (x + 4) 2 - 80

D. f (x) = 5 (x + 8) 2 - 80

Question

Mathematics

Phillips

19 October, 10:11

The first three steps in writing f (x) = 40x + 5x2 in vertex form are shown.

Write the function in standard form. f (x) = 5x2 + 40x

Factor a out of the first two terms. f (x) = 5 (x2 + 8x)

Form a perfect square trinomial. = 16

f (x) = 5 (x2 + 8x + 16) - 5 (16)

What is the function written in vertex form?

A. f (x) = 5 (x + 4) - 80

B. f (x) = 5 (x + 8) - 80

C. f (x) = 5 (x + 4) 2 - 80

D. f (x) = 5 (x + 8) 2 - 80

+5

Answers (1)

Know the Answer?

Hadley Serrano · Answer 1

The right answer for the question that is being asked and shown above is that: "C. f (x) = 5 (x + 4) 2 - 80." Write the function in standard form. f (x) = 5x2 + 40x. Factor a out of the first two terms. f (x) = 5 (x2 + 8x). Form a perfect square trinomial. = 16. f (x) = 5 (x2 + 8x + 16) - 5 (16). The vertex form is C. f (x) = 5 (x + 4) 2 - 80