# How do you graph and find the vertex for # y = 4 - abs(x+2) #?

##### 1 Answer

Take the graph of

#### Explanation:

Sometimes it's best to write these equations in a slightly different way, to see it. Here,

From there it also helps to know what the graph of

graph{y=abs(x)}

Notice it's just the graph of

graph{y=-abs(x)}

Adding 2 to the inside of the absolute value shifts the vertex (perhaps counter-intuitively) to the left by 2 units, like so:

graph{y=-abs(x+2)}

Finally, adding 4 to the end of our new graph, shifts the vertex 4 units vertically, creating the following:

graph{y=-abs(x+2)+4}

Finis!