What is the image of (-2,9)after a dilation by a scale factor of 5 centered at the origin?

(- 10, 45 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor, that is

(- 2, 9 ) → (- 2 × 5, 9 × 5 ) → (- 10, 45 )

"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.