Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function. (h, k)=(0, 2), (x, y)=(1, 3)

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Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.  (h, k)=(0, 2), (x, y)=(1, 3)

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If (h, k) is the vertex and a point on the curve is (x, y), then general eq. of the quadratic function is given by&amp;nbsp;1)&amp;nbsp;y=a(x−h)2+k&amp;nbsp;Where a is const to be determine point (h, k) and (x, y)&amp;nbsp;Given&amp;nbsp;(h,&amp;nbsp;k)=(0,&amp;nbsp;2)&amp;nbsp;and&amp;nbsp;(x,&amp;nbsp;y)=(1,&amp;nbsp;3)&amp;nbsp;Now put in general eq.&amp;nbsp;y=a(x−0)2+2&amp;nbsp;Now put (x, y) value&amp;nbsp;3=a(1−0)2+2&amp;nbsp;a(1)2=1arrowa=1&amp;nbsp;Now put a and (h, k) value in eq. (1)&amp;nbsp;y=1(x−0)2+2&amp;nbsp;y=x2+2

Use the vertex (h, k) and a point on the

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