Question

What is the vertex of the parabola?
Y+1= -1/4 (x-2)2

Answer 1

(2, -1)

Explanation:

The given formula is y + 1 = -1/4 (x - 2)²

Vertex form of a parabola is y = a(x - h)² + k

To get the given formula in vertex form, subtract 1 from each side. The equation for the parabola becomes:

y = -1/4 (x - 2)² - 1

From this, we can take out (h, k), the vertex, and see that it is at (2, -1).