Parabola Help
Need to put into general form, y = a(x - h)2 + k

I have 0,0 and 10,0 for the x- intercept, and 5,3 for the vertex, the parabola goes upward. How do I put it into general form?

Thanks

Question

Parabola Help
Need to put into  general form, y = a(x - h)2 + k

I have 0,0 and 10,0 for the x- intercept, and 5,3 for the vertex, the parabola goes upward. How do I put it into general form?

Thanks

anonymous · Answer

vertex is (h, k), so h = 5 and k = 3. and then plug in 0,0 and 10,0 for x and y and solve the system of 2 equations

anonymous · Answer

so y=a(10-5)2+3
Is that right?
or am I not done?

anonymous · Answer

no you have to do 0 = a(10-5)^2 + 3, so 25a = -3, so a = -3/25. Then the general form is y = -3/25(x-5)^2 + 3

anonymous · Answer

okay thanks