What is the vertex of  y= x^2- 7x -3 ?

Feb 29, 2016

Vertex$\left(\frac{7}{2} , - \frac{61}{4}\right)$

Explanation:

x-coordinate of vertex:
$x = - \frac{b}{2 a} = \frac{7}{2}$
y-coordinate of vertex:
$y \left(\frac{7}{2}\right) = \frac{49}{4} - \frac{49}{2} - 3 = - \frac{49}{4} - 3 = - \frac{61}{4}$
Vertex $\left(\frac{7}{2} , - \frac{61}{4}\right)$
graph{x^2 - 7x - 3 [-40, 40, -20, 20]}