The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 2, 3 what is the value of k?

We are given

and it has been shifted to get form

where

vertex is (h,k)

and we are given vertex as (2,3)

now, we can compare

and then we can solve for k

and we get

..............Answer

The value of is in the equation of the parabola with the vertex at .

The given function of the curve is which is being shifted to   with the vertex at .

According to the question, is the vertex of the parabola.

So, compare the parametrs,

Hence, the value of is in the equation of the parabola with the vertex at .

Learn more about parabola here:

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