Question

question 2 of 3 (3 points) 1 question attempt: 1 of unlimited (a) does the parabola open upward or downward? upward downward (b) find the coordinates of the vertex. vertex: (c) find the equation of the axis of symmetry.

Explanation:

Step1: Identify parabola opening direction

By observing the graph, the parabola has a maximum - point, so it opens downward.

Step2: Find vertex coordinates

The vertex of a parabola is the highest or lowest point. From the graph, the vertex is at the point where the parabola changes direction. If we assume the x - coordinate of the vertex is \(x = 3\) and the y - coordinate is \(y = 4\) (by visual inspection of the graph), the vertex coordinates are \((3,4)\).

Step3: Determine axis of symmetry

The axis of symmetry of a parabola is a vertical line that passes through the vertex. The equation of a vertical line is \(x = a\), where \(a\) is the x - coordinate of the vertex. So the equation of the axis of symmetry is \(x = 3\).

Answer:

(a) downward
(b) \((3,4)\)
(c) \(x = 3\)