SOLUTION: Find the vertex and axis of symmerty of y=2X^2+6X I am lost on this on. I'm not sure what to do. thank you very much karen

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Find the vertex and axis of symmerty of y=2X^2+6X I am lost on this on. I'm not sure what to do. thank you very much karen      Log On

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Question 185032This question is from textbook
: Find the vertex and axis of symmerty of y=2X^2+6X I am lost on this on. I'm not sure what to do.
thank you very much
karenThis question is from textbook

Answer by stanbon(57361) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex and axis of symmerty of y=2X^2+6X
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Put the equation in vertex form by completing the square:
2(x^2 + 3x + ? ) = y
2(x^2 + 3x + (3/2)^2) = y + 2(3/2)^2
2(x+(3/2))^2 = y + (9/2)
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Vertex: (-3/2,-9/2)
Axis of symmetry: x = -3/2
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B6x%29
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Cheers,
Stan H.