I'm not sure how to approach this problem; my class hasn't gone over how to find the derivative of a function using only its graph. i'm also not totally sure what part a means by "find the domain of h(" is the domain not 0 to 6 as shown on the graph?

go on the tube you might find some information there

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.