What is the graph of y = |x +2|+5 ?

Answer 1

Hello, Angelina,

y = |x +2|+5

Let's rewrite this as y = |x| +2+5, or

y = |x| +7

2 is always positive, we can remove the absolute value signs from that portion of the expression. We are left with the above equation.

The graph will be reflected around the x=0 point, since as x decreses below 0, the absolute value of x makes y the same as the positive value of x.

Bob