# What is the vertex of  y= x^2 - 4x - 3?

Apr 8, 2018

$\left(2 , - 7\right)$

#### Explanation:

$\frac{- b}{2 a}$ is the $x$ value for the maximum/minimum (vertex) of a quadratic graph. Work out what this value is and put it into the equation to find the $y$ value.

$\frac{- - 4}{2}$=$\frac{4}{2}$=2 $x = 2$

$\implies$ $y = {2}^{2} - 4 \times 2 - 3$

$\implies$ $y = 4 - 8 - 3$

$y = - 7$