# How do you graph y<x^2-5x+4?

Dec 3, 2017

See below.

#### Explanation:

First graph $y = {x}^{2} - 5 x + 4$. Use a dashed line since this is a less than and not a less than or equal to inequality and the curve will not be an included region.

With graph plotted test for values inside and outside of the parabola.

Inside parabola:

$\left(2 , 2\right)$

$2 < {\left(2\right)}^{2} - 5 \left(2\right) + 4$

$2 < 4 - 10 + 4$

$2 < - 2$

This is false, so included area is outside of parabola.