A Parabola has a vertex (-3,7) and one x intercept is -11. Find the other x intercept and the y intercept.

Question

A Parabola has a vertex (-3,7) and one x intercept is -11. Find the other x intercept and the y intercept. How on earth do i do this

Could you go step by step

Answer 1

y = a(x - h)² + k

h = -3

k = 7

y = a(x + 3)² + 7

You have the point (-11,0). Use it to find a.

0 = a(-11 + 3)² + 7

0 = 64a + 7

a = -7/64

y = (-7/64)(x + 3)² + 7

To find the other x intercept, set y=0 and solve the resulting quadratic equation for x using the quadratic formula.

To find the y intercept, set x=0 and solve for y.

You should be able to finish from here.