Question

What is the equation of a parabola, in vertex form, with the vertex (2, -1) with a vertical shrink of 1/2?

A) y = -1/2(x - 2)^2
B) y = (1/2)(x - 2)^2 - 1
C) y = -2(x - 2)^2 - 1
D) y = (1/2)(x + 2)^2 - 1

Answer 1

The correct equation of a parabola with vertex (2, -1) and a vertical shrink of 1/2 is B) y = (1/2)(x - 2)^2 - 1.

Step-by-step explanation:

The equation of a parabola in vertex form is given as y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola and 'a' determines the parabola's width and direction. Here, we have a vertex of (2, -1) and a vertical shrink of 1/2, which means 'a' is positive (since it is a shrink, not a reflection) and equal to 1/2. Therefore, the correct equation for the parabola is B) y = (1/2)(x - 2)^2 - 1.