I need help with the answer

B

Step-by-step explanation:

it can not be A or C because (x-2) sugests that the graph at the root equal to 2 should be linear yet looks like a quadratic

is not D because the y-intercept is -18 and we see the y-intercept is pozitive in the picture

there is no grid

step-by-step explanation:

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.