Answer: (3, 8)
Explanation:
- x | y
- 3 | 8
- 6 | 6
- 7 | 8
- 9 | 12
Notice that y=8 when x=3 and when x=7, so this is either a parabola or an absolute value function.
The axis of symmetry passes the midpoint of x=3 and x=7 so the axis of symmetry is x = 5.
(6,6) is given. It's mirror image across the axis of symmetry is (4, 6).
Similarly, (9, 12) is given. It's mirror image is (1, 12).
And (7, 8) is given. It's mirror image is (3, 8). This is the only pair available as given options for this question.
Side note: Notice that the slope between (6, 6), (7, 8), and (9, 12) is the same (equal to 2) so this is the graph of an absolute value function.