# How do you write -2(x-3)(x+1) in vertex form and identify the vertex, y intercept and x intercept?

Jul 12, 2015

y = - 2(x - 3)(x + 1)

#### Explanation:

The 2 x-intercepts are: x1 = 3 and x2 = - 1
To find y-intercept, make x = 0 -> y = - 2(-3)(1) = 6
x coordinate of vertex:$x = \frac{x 1 + x 2}{2} = \frac{3 - 1}{2} = 1$
y coordinate of vertex: y = f(1) = - 2(-2)(2) = 8

Vertex form $y = - 2 {\left(x - 1\right)}^{2} + 8$