$f(x)=(x+3{)}^2+2$

vertex:

$f(x)=(x+3{)}^2-2$

vertex:

$f(x)=(x-3{)}^2+2$

vertex:

$15.$ Answer each of the following based on the changes you saw in the graphs above.

$($a$)$ Based on your observations from the previous graphs, what are the coordinates of the vertex of the parabola $f(x)=(x+200{)}^2-67?$ Do not attempt to graph!

$($b$)$ Based on your observations from the previous graphs, what are the coordinates of the vertex of the parabola $f(x)=12(x+6{)}^2+111?$ Do not attempt to graph!