Question

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

equation?
(-2.1)
5
O A. x = 4(y + 1)2. 2
O B. y = 4(x - 2)2 +1
O C. x = 4(y - 1)2 - 2
O D. y = 4(x - 2)2 - 1

Answer 1

Options B and D match this form and could be the equations of the parabola.

Step-by-step explanation:

The equation of a parabola with the vertex at (-2, 1) can be in the form y =
`a(x-h)^2 + k,` where (h, k) represents the vertex.

Comparing this form with the given options:

1. Option A:
   `x = 4(y + 1)^2- 2` does not match the form.
2. Option B:
   `y = 4(x - 2)^2 + 1` matches the form, so it could be the equation of the parabola.
3. Option C:
   `x = 4(y - 1)^2 - 2` does not match the form.
4. Option D:
   `y = 4(x - 2)^2 - 1` matches the form, so it could be the equation of the parabola.

Therefore, options B and D could be the equations of the parabola.