Sure: High School Math 2
Properties of Driations
A dilation is a nonrigid transformation that can produce
enlarged or reduced images from a given pre-image.
How do you know that a dilation will produce similar
figures? Explain.

i have not got your picture clearly so see it once again

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.

lol! it is not weird, because that is how i feel when i get to know that there is a lot of people in one area or website at one time. i always want to make new friends! even if they are online friends.