Question

Graph: y=|x - 4| + 2

Answer 1

Here is the graph to your question, if you need help graphing again go to algebra nation click on algebra wall then where you type your question hover over the Delta then click and you can put your question in and it will give you a graph

Answer 2

See attached graph.

Explanation:

We can graph this with relative ease on the calculator or computer (see attachment) but let's make sure we understand it theoretically and algebraically!

y=|x - 4| + 2

First of all, this is an absolute value function, so it'll look like a v where every input equals its positive output (2, 2) (-3,3) etc. You can't get a negative number with a graph of y=|x| unless you translate it.

Next, there's a -4 inside the abs val. According to the formula y = |x - h| + k, where h is the horizontal shift, this means we need to shift the vertex right 4.

There's a +2 outside the abs val. K is the vertical shift, so we need to shift the vertex up 2.