y=x squared +2 or y = |x| +2 which equation? if the points are (0,2) (1,3) (-1,3)?

Question

i tried and im finding that both equations work is that possible?

Answer 1

First pick seven values for example x like -3, -2, -1, 0,1,2, 3 and make an x and y table then begin plugging the values into the equations for example for the equation y = |x| +2 pick the first value plug it in for x and solve then do the same for all the other values as you will find that both equations are getting the same values at the points (0,2) (1,3) (-1,3) so both equations do work.

Answer 2

You can't determine that from here. You need another point because you use (-1,3) and (1,3) which, since both equations are symmetric (even functions), does not help you, so you are really only using 2 points! unless you are given information about the slope of the function, then you're out of luck, both will pass through these points.

Answer 3

Sure. You just showed it
Actually it is the intersection of a parabola and two lines in the shape of a V. The vertex of the V and the vertex of the parabola are 0ne 0f the common points (0,2) , and the intersection of each line with the parabola are the other two points ((1,3) and (-1,3).

Answer 4

Just plug the points in and check:

(0,2): both
(1,3): both
(-1, 3): both

So yes, both eqns are possible.

Answer 5

I'm not here to do your homework...