Question

for the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards or downwards. the vertex of the parabola is the axis of symmetry is the parabola opens select an answer question help: message instructor

Explanation:

Step1: Identify the vertex

The vertex is the highest or lowest point of the parabola. From the graph, the vertex is at the point $(0, 5)$.

Step2: Determine the axis of symmetry

The axis of symmetry of a parabola is a vertical line passing through the vertex. For a vertex at $(0,5)$, the equation of the axis of symmetry is $x = 0$.

Step3: Check the opening direction

Since the parabola has a highest - point (vertex is a maximum), it opens downwards.

Answer:

The vertex of the parabola is $(0,5)$
The axis of symmetry is $x = 0$
The parabola opens downwards