Question

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

Answer 1

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=2x+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]}