Question

F(x) = a(x - h)² + k.
f(x) = 3x² + 6x + 2.

Answer 1

• f(x) = 3(x + 1)² - 1

• a = 3, h = - 1, k = - 1

Explanation:

It is assumed you need to convert the given function into vertex form.

Converting in below steps:

• f(x) =
• 3x² + 6x + 2 =
• 3(x² + 2x) + 2 =
• 3(x² + 2x + 1) - 3 + 2 =
• 3(x + 1)² - 1

We got:

• a = 3, h = - 1, k = - 1