Question

1b hence sketch a graph of the function. explain 1c state the equation of the axis of symmetry. enter your next step here

Explanation:

Step1: Identify the vertex of the graph

The graph of the function has a vertex (the point where the graph changes direction) at \((0,0)\).

Step2: Recall the property of axis of symmetry for V - shaped graphs

For a V - shaped graph (like \(y = |x|\)), the axis of symmetry is a vertical line passing through the vertex.

Step3: Write the equation of the vertical line

The equation of a vertical line passing through the point \((x_0,y_0)\) is \(x=x_0\). Since the vertex is \((0,0)\), the equation of the axis of symmetry is \(x = 0\).

Answer:

\(x = 0\)