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

1 Answer
Sep 17, 2017

Answer:

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]}