Question

find the vertex, the equation of the axis of symmetry and the y - intercept. remember each line is 1 unit

Explanation:

Step1: Identify vertex

The vertex of a parabola is the highest or lowest point. From the graph, the vertex is at the point (- 3,-2).

Step2: Determine axis of symmetry

The axis of symmetry of a parabola is a vertical line passing through the vertex. For a point \((h,k)\) on the vertex of a parabola, the equation of the axis of symmetry is \(x = h\). Here \(h=-3\), so the equation of the axis of symmetry is \(x=-3\).

Step3: Find y - intercept

The y - intercept is the point where the graph intersects the y - axis. By looking at the graph, when \(x = 0\), \(y=-5\).

Answer:

Vertex: \((-3,-2)\); Axis of symmetry: \(x = - 3\); y - intercept: \((0,-5)\)