Question 1112899: Use the vertex
(h, k) (-4,-1)
and a point on the graph
(x, y) (-6,3)
to find the general form of the equation of the quadratic function.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
From the condition, using the info about the vertex, you can write
y = a*(x-(-4))^2 - 1, or, which is the same
y = a*(x+4)^2 -1,
where "a" is unknown real coefficient. To find "a", use given condition on another point. It gives you an equation
3 = a*((-6)+4)^2 -1, which is equivalent to
4 = a*2^2, or 4 = 4a.
Hence, a= 1, and your quadratic function is y = (x+4))^2 - 1.
Solved.
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