Which combination of transformations would map figure A onto figure B?  A. Rotate 270°counterclockwise, then translate (x, y)→ (x-1, y+4)
B. Rotate 90°counterclockwise, then translate (x, y)→ (x+1, y-4)
C. Rotate 180°, then translate (x, y)→ (x-1, y-4)
D. Rotate 270° clockwise, then translate (x, y)→(x+1, y+4)

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

i would be happy to . most people on would also love to i'm sure. if you just want someone who has done algebra before and want a little more personal relationship than just begging strangers for , i can certainly be of service. i do have college myself so i might not be 24/7.

i believe the answer is c.

"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.