Question

Sketch the graph of
@mathmale

Answer 1

\[y=3+|x+1|\]

Answer 2

\[y=\color{red}{3}+|x+1| \]

Answer 3

The value of 3 is only use for y or...

Answer 4

That 3 is a y-value. If x=-1, then the second term, |x+1|, will be zero.

In your shoes I would start by graphing the abs. value function y=|x|.

Can y ou do that now?

Answer 5

yes

Answer 6

when y=3,x=-1
when x=-2,y=4
x=1,y=5
when x=-3,y=5

Answer 7

Once you have graphed y=|x|, you translate your graph UP by 3 units and to the left by 1 unit. Let's discuss why this is so.

Answer 8

okay.

Answer 9

With practice you'll be able to graph this with hardly a 2nd thought.
But for now, graph the basic function y=|x|.

Answer 10

alright..