Question

intercepts:

vertex:

axis of symmetry:

Explanation:

Step1: Find x - intercepts

The x - intercepts are the points where the graph crosses the x - axis. From the graph, the x - intercepts are $x=-3$ and $x = 1$.

Step2: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis. From the graph, the y - intercept is $y=-3$.

Step3: Find vertex

The vertex is the lowest point of the parabola. From the graph, the vertex is at $( - 1,-4)$.

Step4: Find axis of symmetry

The axis of symmetry is a vertical line passing through the vertex. For a parabola, if the vertex is $(h,k)$, the axis of symmetry is $x = h$. So the axis of symmetry is $x=-1$.

Answer:

Intercepts: x - intercepts: $x=-3,x = 1$; y - intercept: $y=-3$
Vertex: $(-1,-4)$
Axis of symmetry: $x=-1$