Question

The vertex of the parabola below is at the point (2,-4). Which of the following could be this parabola's equation?

A. y = x²

B. y = (x - 2)² - 4

C. y = 4x² + 4

D. y = (x + 2)² + 4

Answer 1

The equation for the parabola with vertex at point (2,-4) is y = (x - 2)² - 4, which corresponds to option B.

Step-by-step explanation:

The correct equation for the parabola with vertex at the point (2,-4) would be represented by option B, y = (x - 2)² - 4. This is because the vertex form of a parabola's equation is y = a(x - h)² + k, where (h,k) is the vertex of the parabola. Given that the vertex is at (2, -4), we substitute h with 2 and k with -4, resulting in the equation y = (x - 2)² - 4, which matches option B.