Question

select all of the statements that are true for the given parabola. a. the maximum is (-1, 6). b. the minimum is (-1, 6). c. the line of symmetry is x = -1. d. the x - intercepts are (0, 1) and (0, -3).

Explanation:

Step1: Identify parabola direction

The parabola opens down - ward, so it has a maximum.

Step2: Locate maximum point

The highest point of the parabola is at (-1, 6), so A is true.

Step3: Determine line of symmetry

The vertical line through the vertex (-1, 6) is x=-1, so C is true.

Step4: Analyze minimum

Since it opens down - ward, it has no minimum, so B is false.

Step5: Check x - intercepts

The x - intercepts are where the parabola crosses the x - axis. They are not (0, 1) and (0, - 3) but rather approximately (-3, 0) and (1, 0), so D is false.

Answer:

A. The maximum is (-1, 6), C. The line of symmetry is x = -1