Question

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

a parabola with a vertex of 4, 5

What is the value of k? (1 point)


4

−5

5

−4

Answer 1

The value of k corresponds to 5

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.