How do you graph # y = abs(4x + 2 ) + 3#?

1 Answer
A. S. Adikesavan
May 1, 2016

#y>=3#. Draw the straight lines #y = 3, y =4x +5 and y = -4x+ 1#.
Sans the parts below the point of intersection (-1/2, 3), the 2nd and 3rd form the graph, for the given equation.

Explanation:

Importantly, #y>=3#.

The given equation is the combined equation for the separate equations

#y =(4x+2)+3 and y= -(4x+2)+3#.. Simplified, these are

#y =4x +5 and y = -4x + 1#

that represent two straight lines meeting at ( -1/2, 3).

Draw the straight lines # y =4x +5 and y = -4x - 1#.

Sans the parts below the common point, the 2nd and 3rd form the
graph, for the given equation.

Related questions
See all questions in Graphs of Absolute Value Equations
Impact of this question
1434 views around the world
You can reuse this answer
Creative Commons License