Question

How do you write the equation of the parabola in vertex form given vertex of a parabola is (-3,7) and the y-intercept is 0?

Answer 1

y = -7/9(x + 3)^2 + 7

Explanation:

The general vertex form is
`y = a(x +3)^2 + 7`
Find a.
y-intercept = 0 when x = 0, then,
`0 = a(0 + 3)^2 + 7` --> 9a + 7 = 0 --> a = - 7/9
Vertex form of y:
`y = -7/9(x + 3)^2 + 7`