SOLUTION: convert the standard parabolic equation y = 3x ^2 - 30x - 7 to vertex form.

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Question 744661: convert the standard parabolic equation y = 3x ^2 - 30x - 7 to vertex form.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The vertex form of a parabola's equation is generally expressed as :
y=+a%28x-h%29%5E2%2Bk
given:
y+=+3x+%5E2+-+30x+-+7...factor out 3 from first two terms
y+=+3%28x+%5E2+-+10x%29+-+7.......complete square %28x+%5E2+-+10x%2B____%29, add 25 to %28x+%5E2+-+10x%2B____%29, then subtract 3%2A25 from 3%28x+%5E2+-+10x%2B____%29
y+=+3%28x+%5E2+-+10x%2B25%29-3%2A25+-+7
y=3%28x%5E2-10x%2B25%29-82
y=3%28x-5%29%5E2-82.......vertex form