How do you graph # y - 2 = - | x + 3 | + 1#?

1 Answer
Nov 1, 2017

Answer:

It helps to list the transformations. But it's not necessary; you can sub in values and solve for the other value. Plot those values.

Explanation:

First off, let's add a #2# to the equation in order to isolate #y#.

Now we have:# y= - | x + 3 | + 3#

Before we graph, let's list the transformations.

  • Reflection in the #x#-axis.
  • Vertical translation #3# units up.
  • Horizontal translations #3# units left.

Now we know what to expect. So, let's sub in values of #x# and solve for #y#.

Then, we plot the values of #x# and #y#.

We should get this:

graph{y= - | x + 3 | + 3 [-10, 10, -5, 5]}

Hope this helps :)