The variables $x$ and $y$ have a quadratic relationship. When $x = 0$…

Question

Prompt

The variables

x

and

y

have a quadratic relationship. When

x = 0

y = 45

. When

x = 6

y = 81

. When

x = 15

y = 0

. Which equation represents this relationship?

y = x^{2} - 18 x + 45

y = - x^{2} + 12 x + 45

y = x^{2} + 45

y = - 3 x^{2} + 48 x - 45