algebra

Suppose a parabola has a vertex (-4,7) and also passes through the point (-3,8) Write the equation of the parabola in vertex form.
f(x)=a(x-h)^2+k
I believe h=-4
k=7
Not sure what to do from here.

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  1. from the vertex, you know that

    y = a(x+4)^2 + 7

    Now just plug in (-3,8) to find a:

    8 = a(1)+7
    1 = a

    y = (x+4)^2 + 7

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  2. I'm not sure what your saying

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  3. you seemed to be able to figure out h and k for the vertex, so what's the hangup? All I did was use your equation and use the values x=-3 and y=8 to solve for a.

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  4. y=a(x-h)^2+k
    y=a(x+4)^2+7
    8=a((x-3)+4)^2+7
    8=a(1)^2+7
    1=a
    4=(x+4)^2+7
    Is this right?

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  5. well, I'd say yes, since it agrees with the equation I posted above. (sort of; not sure what the 4 means)

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  6. sorry was y we have to show our steps when figuring problems thank you

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