Answer:
p(x) = 6(x + 2)² - 3
Step-by-step explanation:
This one requires a lot of thinking because since our A is not 1 and how the quadratic equation looks, we need to think of a low number while "completing the square [½B]²". So, let us choose 2. We set it up like this:
6(x + 2)² → 6(x² + 4x + 4) → 6x² + 24x + 24
6x² + 24x + 24 - 3 → 6x² + 24x + 21 [TA DA!]
We know that our vertex formula is correct. Additionally, -h gives you the OPPOSITE terms of what they really are, and k gives you the EXACT terms of what they really are. Therefore, your vertex is [-2, -3].
I am joyous to assist you anytime.
