# How do you graph y=abs(2x+5)?

Sep 17, 2017

See below

#### Explanation:

The way to tackle this problem is to put in several values of $x$ and compute $y$ and plot the points.

In order to understand what absolute value (modulus) means, we can look at the problem a different way.

Let's plot the line: $y = 2 x + 5$ .We know it has a slope of $2$ and a y-intercept of $5$

graph{2x+5 [-10, 10, -5, 5]}

Since the absolute value (modulus) function returns only positive values, the portion of the line below the x-axis simply gets reflected about the x-axis to form the "V"

graph{abs(2x+5) [-10, 10, -5, 5]}