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

1 Answer
Jul 26, 2016

Answer:

#y>=5#. The graph is V-like right angle with vertex at (0, 5). The upward y-axis bisects the angle.

Explanation:

#y - 5 = |x| >=0. So, y>=5#

#y=|x|+5# is the combined equation to the pair of semi-straight lines

represented by

#y=x+5, x>=0# and

#y=-x+5, x<=0#

The half-lines rise from the terminal(0, 5) and include a right angle.

The angle is bisected by the upward y-axis,

graph{(y-x-5)(y+x-5)=0[-20 20 4 25]}