Question

What is the axis of symmetry and root(s)?

Answer 1

Solving the second one

• Vertex=(-3,0)

Axis of symmetry

• It passes right at vertex of parabola
• The axis is x=-3

Roots are the x intercepts

• Roots=-3

Answer 2

• axis of symmetry: x = -3
• root: x = -3

Explanation:

As indicated in the example shown, the axis of symmetry is the vertical line through the vertex. That is, its equation is ...

x = <x-coordinate of vertex>

Here, the x-coordinate of the vertex is -3, so the axis of symmetry is ...

x = -3

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The roots are the x-intercepts, the x-values where the graph touches or crosses the x-axis. When the graph only touches the x-axis, there is only one root. Here, the x-value of the point where the graph touches the x-axis is x = -3.

The root is x = -3.