In Parabolas, Dr. Eaton first describes what is a parabola with definitions including focus, directrix, and the axis of symmetry. She then elaborates on the vertex as well as the standard form of parabolas which can help with upward or downward opening characteristics. Next Dr. Eaton moves into graphing parabolas using previously learned skills such as completing the square, symmetry, and translation. Furthermore, she instructs you on the latus rectum, how to deal with horizontal parabolas, and finally more elaboration on the focus and directrix. Lastly are four comprehensive examples.
Understand the geometric significance of the sign of the coefficient of the squared term in the equation of a parabola.
Use the axis of symmetry to help you graph a parabola.
Know the standard formula for a parabola.
Review how to complete the square.
If the coefficient of the squared term is not 1, then before completing the square, you must first factor this coefficient out of both the squared term and the linear term.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.