quadratic function---f4

2010-01-01 9:31 pm
The x-intercepts of the graph of a quadratic function are 3/2 and -1/2, and the y-intercept is 9.

(a) Find the quadratic function.
(b) Find the coordinates of the vertex.

回答 (1)

2010-01-01 9:38 pm
✔ 最佳答案
(a) Let y=A(x-3/2)(x+1/2)
y=A(x^2-x-3/4)=(A/4)(4x^2-4x-3)=0
Sub. x=0=>-3A/4=9=<A=-12
So y=-12x^2+12x+9
(b) y=-12x^2+12x+9=-12(x-1/2)^2+12
So the vertex is (1/2,12)


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