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Answer:
C. (-1, 2) and (4, 7)
Step-by-step explanation:
It may be simplest just to try the answer choices.
We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.
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The second equation can be written in vertex form as ...
y = (x -1)^2 -2
This equation is not satisfied by the points of choice B.
Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.
However it is a good match for the points of choice C.
Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True
The appropriate choice is ...
(-1, 2) and (4, 7)