Answer:
D. Q' [tex](-3,2)[/tex]
Step-by-step explanation:
We have been given a parabola. We are asked to find the point that corresponds to point Q'.
The corresponding point will be equidistant from line of symmetry.
We can see that vertex of our given parabola is at point [tex](-1,-2)[/tex], so the line of symmetry will pass through point [tex](-1,-2)[/tex].
The y-coordinate for point Q' will be same as point Q that is 2.
We can see that x-coordinate of point Q is 2 units in the right from line of symmetry, so x-coordinate of point Q' will be 2 points away from line of symmetry in left direction.
[tex]-1-2=-3[/tex]
Therefore, the coordinates of point Q' would be [tex](-3,2)[/tex] and option D is the correct choice.
