SOLUTION: determined the quadratic function whose graph is given. the vertex is (3,-11) and the y-intercept is -2

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Question 993634: determined the quadratic function whose graph is given. the vertex is (3,-11) and the y-intercept is -2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:the vertex is (3,-11) and the y-intercept is -2
use vertex form of equation:
y+=+a%28x+-+h%29%5E2+%2B+k where vertex: (h,k) and y-intercept: (x,y)
so, we will use given points to find coefficient a:
vertex: (h,k)= (3,-11) and
the y-intercept (x,y)= (0,-2)
-2+=+a%280+-+3%29%5E2+-11
-2+=+a%28+-+3%29%5E2+-11
-2%2B11+=+9a+
9+=+9a+
a=1
so your equation is:
y+=+%28x+-+3%29%5E2+-11