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

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 :)