PLS HELP ASAP Given parallelogram PARK. Prove graphically and algebraically that a clockwise rotation of 270o about the origin has an equivalent counterclockwise rotation. In your final answer, name the equivalent counterclockwise rotation and show all of your work. On your graph, label the following: parallelogram PARK and the coordinates of all four of its vertices parallelogram P'A'R'K' and the coordinates of all four of its vertices center of rotation and its coordinate the invisible circle of rotation, its radius and the length of the radius use arrows to show the clockwise movement of the parallelogram

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

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.