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

1 Answer
Nov 1, 2017

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 :)