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

Respuesta :

Answer:

Option 2nd is correct that is [tex]y=(x-1)^2+2[/tex]

Step-by-step explanation:

We have given  the vertices of a parabola

General equation of parabola is:

[tex]y=a(x-h)^2+k[/tex]

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:

[tex]y=1(x-1)^2+2[/tex]

[tex]y=(x-1)^2+2[/tex]

Therefore, option 2nd is correct.

Answer:

y = (x - 1) 2 + 2