# How do you find the axis of symmetry and vertex point of the function: f(x) = -3x^2 - 6x + 4?

Apr 30, 2018

Line x=-1

(-1,7)

#### Explanation:

$- \frac{b}{2 a}$ gives you the $x$ coordinate for both.

$\implies - \frac{- 6}{2 \times - 3}$=-1

Substitute x=-1 into $- 3 {x}^{2} - 6 x + 4$ to find $y$

$\implies - 3 \times {\left(- 1\right)}^{2} - 6 \times - 1 + 4$

$\implies - 3 + 6 + 4 = 7$