Question

what is the axis of symmetry for this quadratic function? chart of a quadratic function on a grid

Explanation:

Step1: Recall axis of symmetry for parabola

The axis of symmetry of a parabola (graph of a quadratic function) is a vertical line that passes through the vertex (the highest or lowest point) of the parabola. It is given by the equation \( x = h \), where \( (h, k) \) is the vertex of the parabola.

Step2: Identify the vertex's x - coordinate

Looking at the graph, the vertex of the parabola (the peak of the curve) is at a point where the x - coordinate is 2 (by counting the grid squares: from the y - axis (x = 0), moving 2 units to the right). So the axis of symmetry is the vertical line passing through this x - coordinate.

Answer:

The axis of symmetry is \( x = 2 \)