Question

Please help me in math. Write an equation of the parabola shown.

Answer 1

`y = (1 )/(8) {(x + 3)}^(2)`

Explanation:

`y = a(x - h)^(2) + k \\ y = a(x - ( - 3))^(2) + 0 \\ using \: points \: (1 ,\: 2) \\ 2 = a {(1 - ( - 3))}^(2) \\ 2 = a{4}^(2) \\ 16a = 2 \\ \boxed{ a = (1)/(8) } \\ hence \to \\ y = (1)/(8) (x - ( - 3))^(2) \\ y = \frac{{(x + 3)}^(2) }{8}`