What is the first step in writing f (x) = 3x^2+6x-8 in vertex form?

Step-by-step explanation:

To convert to vertex form, you need to complete the square. The first step is to factor out the leading coefficient from the first two terms.

f (x) = 3x² + 6x - 8

f (x) = 3 (x² + 2x) - 8

The second step is to take half of the x coefficient, square the result, then add and subtract inside the parentheses. (2/2) ² = 1.

f (x) = 3 (x² + 2x + 1 - 1) - 8

Distribute:

f (x) = 3 (x² + 2x + 1) - 3 (1) - 8

Factor and simplify:

f (x) = 3 (x + 1) ² - 11

Answer: factor out 3 from watch terms on edg 2020