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Home Q & A Board Science-Related Homework Help Mathematics
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smooth15 smooth15
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11 years ago
I need to find the standard form of the equation of a parabola.
Vertex: (2,0)
Focus: (0,0)

This should be an easy one but i keep messing up somewhere and i can't figure out where. Please help
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#1
11 years ago
Parabola opens to the left
y^2 = -4a(x-2)
a = 2
y^2 = -8(x-2)
8x+y^2-16=0
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#2
11 years ago
The vertex tells you that (x-2) is part of your equation.

The focus point is 2 less than the vertex, meaning that the parabola opens to the left. This also tells you that the 'y' term is the one that is squared and that it is positive.
It also tells you that your p value is -2.

y^2 = 4(-2)(x-2)
y^2 = -8(x-2)
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