Bob is training for a race. bob ran 14.6 miles away from his home. then, bob ran 9.8 miles towards his home. finally, bob ran 5.3 miles away from his home. how far is bob from his home?

This equation is a matter of doing addition and subtraction in the right order. You start with 14.6, because that is how far he is away from his home. Then, you subtract 9.8 because he's coming towards his home, and he is now 4.8 miles away from his home. Finally add 5.3 because he runs away this time, and you end up with Bob is 10.1 miles away from his home. Guess he'd better start running back!

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.