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

y = (x - 1) 2 + 2

Answer 2

Option 2nd is correct that is
`y=(x-1)^2+2`

Explanation:

We have given the vertices of a parabola

General equation of parabola is:

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

Here, (h,k) is vertex of the parabola

Here, h=1 and k=2 and a=1

On substituting the values in the general equation of the parabola we get:

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

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

Therefore, option 2nd is correct.