Question

Water is spraying from a nozzle in a fountain forming a parabolic path. The nozzle is 10 cm above the service of the water. The water achieves a max height of 100 cm above the waters surface and lands in the pool. The water spray is again 10 cm above the surface of the water when it is 120 cm horizontally from the nozzle. Write the quadratic function in vertex form to represent the path of the water if the origin is at the surface of the water directly below the nozzle.

This is my solution:

Vertex: (60,90)
Known points: (10,120), (0.10)

y = a(x-p)^2 + q
10 = a(120-60)^2 +90
-80= 3600a
a = -/45

Therefore, y = -1/45(x-60)^2+90

(Thank you)

Answer 1

Looks good to me

Answer 2

Thank you