How do you graph and find the vertex for y=4−|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!
