Question

Which of the following equations is of a parabola with a vertex at (1, 2)

Answer 1

y = a(x - 1)² - 2

where a is any real number except 0.

Explanation:

The vertex formula of an equation of a parabola:

`y=a(x-h)^2+k`

(h, k) - vertex

We have the vertex (1, -2). Substitute:

`y=a(x-1)+(-2)=a(x-1)^2-2`