Question

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

Answer 1

Answer:

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

Step-by-step 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.