Question 724363: What is the standard equation of the parabola with vertex: (5,-2) and focus: (7,-2)?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the standard equation of the parabola with vertex: (5,-2) and focus: (7,-2)?
Basic form of equation for a parabola that opens rightward: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of of the vertex:
For given equation:
vertex: (5,-2)
axis of symmetry: y=-2
p=2 (p-distance from vertex to focus on the axis of symmetry)
4p=8
Basic equation: (y+2)^2=8(x-5)
Standard form of equation: x=(1/8)(y+2)^2+5
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