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Tristan Fuller
8 July, 13:39
Write y=-3x^2-18x-31 in vertex form
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Darren Hood
8 July, 16:58
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-3 (x + (3)) ^2-4 is the answer
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Isabel Shah
8 July, 17:12
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Get it into f (x) = a (x-h) ²+k form
basically complete the square
so
steps
1. isolate x terms
2. factor out coefient of x^2 term
3. take 1/2 of linear coefient (x term) and square it and add negative and positive inside of parenthasees
4. factor perfect square
5. expand
6. bow
so
f (x) = - 3x²-18x-31
group
f (x) = (-3x²-18x) - 31
undistribute coefient
f (x) = - 3 (x²+6x) - 31
take 1/2 of 6 and square it (6/2=3, 3²=9), add positive and negative of it inside
f (x) = - 3 (x²+6x+9-9) - 31
factor perfect square
f (x) = - 3 ((x+3) ²-9) - 31
expand/distribue
f (x) = - 3 (x+3) ²+27-31
f (x) = - 3 (x+3) ²-4
answer is
f (x) = - 3 (x+3) ²-4
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