SOLUTION: can you u show me how to put a equation in vertex form?

Question 593259: can you u show me how to put a equation in vertex form?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
can you u show me how to put a equation in vertex form?
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You need to "complete the square".
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Example:
y = 2x^2 + 3x + 5
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y = 2(x^2 + (3/2)x) + 5
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y = 2(x^2+(3/2)x+(3/4)^2) + 5 - (3/4)^2
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y = 2(x+(3/4))^2 + (80/16)-(9/16)
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y = 2(x+(3/4)^2 + (71/16)
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Vertex: (-3/4,71/16)
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Graph:

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Cheers,
Stan H.
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