Question

Which of the following equations is of a parabola with a vertex at (1, -2)? y = (x - 1)2 - 2 y = (x - 1)2 + 2 y = (x + 1)2 - 2 y = (x + 1)2 + 2

Answer 1

The answer is y=(x+1)2-2y

Answer 2

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

Explanation:

Givens

• The vertex is at
  `(1,-2)`.

The explicit form of a parabola is

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

Where
`(h,k)` is the vertex.

So, we know that
`h=1, k=-2, a=1`. Replacing these values, we have the following expression

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

Therefore, the right answer is the first choice

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