The vertex of a parabola is (3, 2). A second point on the parabola is (1, 7). Which point is also on the parabola?

The equation of a parabola in vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Given the vertex (h, k) = (3, 2), we can substitute these values into the equation to get y = a(x - 3)² + 2.

We also know that the point (1, 7) lies on the parabola. We can substitute these values into the equation to solve for a:

7 = a(1 - 3)² + 2 7 = a(-2)² + 2 7 = 4a + 2 5 = 4a a = 5/4 = 1.25

So, the equation of the parabola is y = 1.25(x - 3)² + 2.

To find another point on the parabola, we can choose a value for x and solve for y. For example, if we choose x = 5, we get:

y = 1.25(5 - 3)² + 2 y = 1.25(2)² + 2 y = 1.25(4) + 2 y = 5 + 2 y = 7

So, the point (5, 7) is also on the parabola.