Using the values of h and k from the vertex in equation of parabola, we get:
[tex]y=a(x-1)^{2} +4[/tex]
The y-intercept of the parabola is (0,1). Which means for x=0, y=1 for the given parabola. Using these values of x and y in above equation, we can find the value of a for the parabola.
[tex]1=a (0-1)^{2} +4 \\ \\
1-4=a \\ \\
a=-3[/tex]
The equation of parabola thus becomes:
[tex]y=-3 (x-1)^{2} +4[/tex]
