Which graph shows the axis of symmetry for the function f(x) = (x - 2)² + 1?

Solution:

Quadratic equations are those which have a degree equal to two. They are represented by a parabola in the graph.

Given function: f(x) = (x - 2)² + 1.

Now, we see that it is in the vertex form, where the vertex is (2, 1).

The graph of the function f(x) = (x - 2)² + 1 is shown below.

From the graph above, we see that the curve of the equation is an upward parabola with (2, 1) as a vertex.

Also, since the curve doesn't cut the x-axis even once, therefore f(x) has no real roots.

Hence, the graph which shows the axis of symmetry for the function f(x), is a parabola with a vertex at (2, 1).

Which graph shows the axis of symmetry for the function f(x) = (x - 2)² + 1?

Summary:

The graph which shows the axis of symmetry for the function f(x) = (x - 2)² + 1, is a parabola with a vertex at (2, 1).