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It is known that the vertex of the image of quadratic function is (- 3,1 / 2) and the image passes (2,11 / 2). Find the analytic expression of quadratic function and the intersection coordinates of image and Y axis Please write clearly the process
The vertex is (- 3,1 / 2)
So y = a [x - (- 3)] ^ 2 + 1 / 2
Image over (2,11 / 2)
11/2=a(2+3)^2+1/2
a=1/5
y=1/5(x+3)^2+1/2
So y = x ^ 2 / 5 + 6x / 5 + 23 / 10
x=0,y=23/10
So the intersection coordinates of the image and the Y axis (0,23 / 10)
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