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Question 753973: You are given the coordinates of the vertex (0,-4) and of a point (-9,-6) on a parabola. Find the coefficients for the equation of the parabola.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! You are given the coordinates of the vertex (0,-4) and of a point (-9,-6) on a parabola. Find the coefficients for the equation of the parabola.
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Standard (vertex) form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or steepness of the curve.
solving for A:
y=A(x-h)^2+k
-6=A(-9-0)^2-4
81A=-2
A=-2/81
equation: y=(-2/81)(x)^2-4
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