Equation of a parabola

label Algebra
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schedule 1 Day
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Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7, 0).

May 16th, 2015

(y-k)^2 = 4p(x-h)
(h,k) is the vertex

Vertex (0, 0), so h=0 and k=0

Focus (7, 0)

p is the distance between the vertex and the focus : (0,0) and (7,0)
p = sqrt ( (0-7)^2 +(0-0)^2 ) = 7 

so (y-0)^2 = 4*7*(x-0) 

y^2=28x

May 16th, 2015

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May 16th, 2015
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