Question

The graph of y = ax^2 + C contains the point (2, 14). Which point lies on the graph of y = a(x – 2)^2 + c?

1. (4, 14)
2. (0, 14)
3. (2, 12)
4. (2, 16)

Answer 1

The point that lies on the graph of y = a(x - 2)^2 + c is (2, c).

Step-by-step explanation:

The point (2, 14) lies on the graph of the equation y = ax^2 + c. To find the point that lies on the graph of y = a(x - 2)^2 + c, we substitute x = 2 into the equation. So:

y = a(2 - 2)^2 + c = a(0)^2 + c = 0 + c = c

Therefore, the point that lies on the graph of y = a(x - 2)^2 + c is (2, c).