Question

find the vertex, the axis of symmetry, and the y - intercept of the graph
vertex (-2, )
axis of symmetry x = -2
y - intercept -3

Explanation:

Step1: Identify vertex from graph

The highest point of the parabola is the vertex. By observing the graph, the x - coordinate of the vertex is - 2. To find the y - coordinate, we look at the vertical position of the highest point, which is 1. So the vertex is (-2,1).

Step2: Determine axis of symmetry

The axis of symmetry of a parabola passes through the vertex. For a parabola, the equation of the axis of symmetry is x = the x - coordinate of the vertex. Since the x - coordinate of the vertex is - 2, the axis of symmetry is x=-2.

Step3: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis. By looking at the graph, the graph crosses the y - axis at y = - 3.

Answer:

vertex: (-2,1)
axis of symmetry: x = - 2
y - intercept: - 3