Question

Select all of the statements that are true for the given parabola.65b164← PREVIOUS0 12 3234A. The minimum is (1, -2).B. The line of symmetry is y=-2.C. The x-intercepts are (3, 0) and (-1,0).D. The maximum is (1, -2).

Answer 1

Using the given graph of a parabola, let's select the statements which are true,

From the graph, we have the following:

• Vertex: (1, -2)

• Axis of symmetry: ,x = 1

This is the line that divides the parabola into two equal halves.

• x-intercepts:

The x-intercepts are the points the parabola crosses the x-axis.

Thus, we have:

(3, 0) and (-1, 0)

Since the parabola faces up, the vertex will be the minimum point.

Therefore, the true statements of the given parabola from the list are:

• The minimum is (1, -2)

,

• The x-intercepts are (3, 0) and (-1, 0)

ANSWER:

• A. The minimum is (1, -2)

• C. The x-intercepts are (3, 0) and (-1, 0)