y=a(x-h)²+kwhere (h,k) are the Vertex Coordinates.
y=ax²+bx+c
We are given the quadratic equation in vertex format
y=-2(x+3)²-7
First, apply the binomial formula
(x+3)² = x²+6x+9
Thus we have
y= -2(x²+6x+9)-7
Next, distribute the 2 to get
y= -2x²-12x-18-7
Since -18-7=-25 we finally get the standard form
y= -2x²-12x-25
Here, a=-2, b=-12 and c=-25 are the coefficients in the Standard Form
y= ax²+bx+c
Get it now? Try our Vertex to Standard Form Calculator a few more times.
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