Question

write the equation of the axis of symmetry for this graph.
hint: the axis of symmetry is the vertical line that splits the quadratic directly in half.

\\(x = ?\\)

Explanation:

Identify the vertex of the parabola

Using the Parabola Vertex Identification knowledge point, we locate the lowest point of the parabola on the coordinate grid. Looking closely at the graph, the vertex is positioned at the coordinates \((2, -1)\).

Determine the axis of symmetry

Using the Quadratic Functions knowledge point, the axis of symmetry is the vertical line passing directly through the vertex. A vertical line has the equation \(x = h\), where \(h\) is the x-coordinate of the vertex. Since the vertex is at \((2, -1)\), the x-coordinate is \(2\). Therefore, the equation of the axis of symmetry is \(x = 2\).

Answer:

Write the equation of the axis of symmetry for this graph.

Hint: The axis of symmetry is the vertical line that splits the quadratic directly in half.

\(x =\) <blank>2</blank>