Question

If a parabola had a y-intercept of (0,5) and an axis of symmetry at x = 4, what other point must be on the graph? (hint: draw)

Answer 1

Answer:

(8, 5)

Step-by-step explanation:

Let's take a look at the y-intercept, (0, 5).  If the axis of symmetry is x = 4, then the distance from (0, 5) is 4 units.  If we reflect this point (0, 5) about the axis of symmetry x = 4, the resulting point is (8, 5).  In other words, the distance from the y-intercept to the axis of symmetry is 4 units, and so the distance from the y-intercept must be 4 units plus 4 units, or 8 units.

The only answer choice that matches this is the second one:  (8, 5).