determine the equation of the quadratic function whose verte

determine the equation of the quadratic function whose vertex and point is given.

vertex: (1,4) y-intercept: (0,3)

Solution

Gen equation of quadratce function with vertex (h, k)

y = a( x-h)^2 +k

(h,k) = ( 1,4)

y = a( x-1)^2 +4

Plug ( 0, 3) to solve for a

3 = a(0-1)^2 +4

3 = a +4

a = -1

So, equation of quadratice function : y = -(x-1)^2 +4