Sydney parked her car and
hiked along two paths described by the vectors
(2,3) and (5, -1).
a. What vector represents her hike along both
paths?
b. When she got to the end of the second path,
how far is she from her car if the numbers
represent miles?

"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.

the easiest way to do these would be to solve the equations. if you can solve the equation than you can solve these problems.