Question

PLEASE HELP

The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?

Answer 1

A

Explanation:

Hopefully this helps

Answer 2

A.
`x = 4\cdot (y-1)^(2)-2`

Explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at
`V(x,y) = (h,k)` is defined by the following expression:

`x-h = C\cdot (y-k)^(2)` (1)

Where
`C` is the parabola factor, when
`C > 0`, the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

`x+2 = C\cdot (y-1)^(2)`

`x = C\cdot (y-1)^(2)-2`, where
`C > 0`

The correct answer is A.