How do you graph and find the vertex for # y = 4 - abs(x+2) #?
Take the graph of
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
Notice it's just the graph of
Adding 2 to the inside of the absolute value shifts the vertex (perhaps counter-intuitively) to the left by 2 units, like so:
Finally, adding 4 to the end of our new graph, shifts the vertex 4 units vertically, creating the following: