Question

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:

Answer 1

Answer:

The value of k corresponds to 5

Step-by-step explanation:

There are 3 ways to express a quadratic equation whose graph is a parabola.

One of them is the vertex form of the quadratic / parabola

Quadratic equation (Vertex form)

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

The vertex of the parabola

$(h,k)$

For this case, the vertex of the parabola corresponds to

$(4;5)$

Then the value of k corresponds to 5

Answer 2

The equation of a parabola is given by f(x) = (x - h)^2 + k; where (h, k) is the vertex.
Therefore, k = 5.