# How do you find the vertex of y = x^2 + 2x - 3?

Jan 23, 2017

When given an equation of a parabola, $y \left(x\right) = a {x}^{2} + b x + c$, the x coordinate of the vertex, $h = - \frac{b}{2 a}$, and the y coordinate, $k = y \left(h\right)$

#### Explanation:

For the given equation, $a = 1 , b = 2 , \mathmr{and} c = - 3$

The x coordinate is:

$h = - \frac{b}{2 a}$

$h = - \frac{2}{2 \left(1\right)}$

$h = - 1$

The y coordinate is:

$k = y \left(- 1\right)$

$k = {\left(- 1\right)}^{2} + 2 \left(- 1\right) - 3$

$k = - 4$

The vertex is the point $\left(- 1 , - 4\right)$