draw the parabolas axis of symmetry.

Explanation:

Step1: Recall the property of the axis of symmetry

The axis of symmetry of a parabola passes through the vertex and is equidistant from any two symmetric points on the parabola.

Step2: Locate the symmetric points

In the given graph, the two blue - colored points are symmetric. Let the coordinates of the left - hand blue point be ((x_1,y)) and the right - hand blue point be ((x_2,y)). Here, (x_1=-4) and (x_2 = 4).

Step3: Calculate the axis of symmetry

The formula for the axis of symmetry (for a horizontal line of symmetry of two points ((x_1,y)) and ((x_2,y))) is (x=\frac{x_1 + x_2}{2}). Substitute (x_1=-4) and (x_2 = 4) into the formula: (x=\frac{-4 + 4}{2}=0)

The axis of symmetry is the (y) - axis ((x = 0)). So, draw a vertical line along the (y) - axis (the line (x = 0)) on the coordinate plane.