The purple line is the axis of symmetry. This is like a mirror. Everything to the left of the line is a mirror image of everything the to right.
The orange curve is the parabola. This is the name of the shape that a quadratic equation forms.
The black dots are the zeroes, x-intercepts, and the roots. These are all terms for the solutions of the graph.
The red dot is the vertex, minimum, and extremum. The vertex is peak of a parabola. Minimum refers to the lowest y-value of a graph, and extremum is a general term for all minima and maxima.
The green dot is the y-intercept. This is where the graph crosses the y-axis.
