Question

the graph of a quadratic function is shown on the grid. which equation best represents the axis of symmetry? a ( y = 6 ) b ( x = 2 ) c ( y = 4 ) d ( x = 0 )

Explanation:

Step1: Recall Axis of Symmetry

The axis of symmetry of a quadratic function (parabola) is a vertical line that divides the parabola into two mirror - image halves. The equation of a vertical line is of the form \(x = h\), where \(h\) is the x - coordinate of the vertex's horizontal position.

Step2: Identify the Vertex's x - coordinate

Looking at the graph of the quadratic function, the vertex (the minimum point of the parabola, since it opens upwards) has an x - coordinate of 2. So the equation of the axis of symmetry is \(x=2\).

Answer:

B. \(x = 2\)