Parabola

Key points to know:

• Basic understanding of quadratic roots and their relationship to the x-intercepts of a parabolic graph.

• Identification and description of key features of a parabolic graph, including the vertex (maximum or minimum point), axis of symmetry, and direction of opening (upward or downward).

• Understanding the transformations of parabolic graphs, including translations, reflections, and dilations, and how these affect the graph's shape and position.

• Writing and interpreting the equation of a parabola in standard or vertex form, with correct use of the 'k' value to represent vertical translations or shifts.

Example of a parabolic graphs and its features