Question

Find the equation of the parabola that has a vertex of (4,1) and passes through the point (3,0)

Answer 1

since you know the vertex, the vertex form would seem a good start

Answer 2

y = a(x-vx)+vy ; where vertex = (vx,vy)

Answer 3

forgot my ^2

Answer 4

lets fill in the specifics now:

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

now, when x=3, and y=0; what do we get to work with?

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

0 = a(-1)^2 +1

0 = a +1

-1 = a

Answer 5

so write it up with the proper a value and it should be good. you might have to expand it to match a choice