Question

. Analyze the quadratic function below. Which of the following statements describe the quadratic

function? Select all that apply.
2
(2,1)
The function has an extreme value at 1.5.
no
The axis of symmetry is x =
3
30
2
The reflection of the point marked on the parabola over the axis of symmetry is (-2, 1). Yes
The vertex of the parabola is a minimum point.

Answer 1

The quadratic function passes through the point (2, 1), its reflection over the axis of symmetry is (-2, 1), and the axis of symmetry is x = 3.

A quadratic function is a second-order polynomial function. It has the general form y = ax^2 + bx + c, where a, b, and c are constants. By analyzing the given function:

It passes through the point (2, 1), which means that when x = 2, y = 1, and this point lies on the graph of the function.

The reflection of the point marked on the parabola over the axis of symmetry is (-2, 1). This means that when a point (x, y) lies on the graph, its reflection will also lie on the graph.

The axis of symmetry is x = 3. This means that the parabola is symmetric with respect to the vertical line x = 3.

Based on this analysis, the correct statements are:

The function passes through the point (2, 1).

The reflection of the point marked on the parabola over the axis of symmetry is (-2, 1).

The axis of symmetry is x = 3.