With the provided vertices and the focus point, the hyperbola will look like the one in the picture below.
notice the "c" distance from the center to the focus point.
since it's a vertical hyperbola, the positive fraction will be the one with the "y" in it, its center is clearly half-way between the vertices at -5, 5.
its major axis or traverse axis goes from -2 up to 12, so is 14 units long, therefore the "a" component is half that, or 7.
Multiply by (r^2)/F and take the square root.
(r²/F)·F = G·(m×M)/r²·(r²/F)
r² = G·m·M/F
Step-by-step explanation:
answer 3 is correct.
the result is clearly shifted (translated) and then enlarged (dilation).
the dimensions of the side lengths all follow the same scale factor (2).
I think it’s 27 3/4 since you just had the 21 and 6 together and it should be the same fraction