Question

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

Explanation:

Step1: Identify vertex

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

Step2: Determine axis of symmetry

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

Step3: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis. From the graph, when $x = 0$, $y=-1$.

Answer:

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