Answer:
<em>p</em>(<em>x</em>) = 6(x + 2)² - 3
Step-by-step explanation:
This one requires a lot of thinking because since our <em>A</em><em> </em>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, <em>-h</em> gives you the OPPOSITE terms of what they really are, and <em>k</em><em> </em>gives you the EXACT terms of what they really are. Therefore, your vertex is [-2, -3].
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