Dr. Fraser begins this new section on Quadratic Functions with Graphing Quadratic Functions. After an overview of parabolas and the standard form of quadratic functions, he moves into parabolas that open upward as well as parabolas that open downward. Then, he dives into important concepts such as the vertex and axis of symmetry. At the end of the lesson are four examples to test your new knowledge.
function is a function of the form f(x) = ax2 + bx +
c, where a ≠ 0. This is called the standard form of a
The graph of a
quadratic function is a parabola. If a > 0, the parabola
opens upward. If a < 0, it opens downward.
The axis of
symmetry divides a parabola into two symmetrical halves. Its
equation is x = -b/2a.
Use the axis of
symmetry to help you graph a parabola. Graph the right or left half
and then reflect the graph across the axis of symmetry.
The maximum or
minimum value of the graph occurs at the vertex. The formula
for the x-coordinate of the vertex is x = -b/2a. Use this formula
to find the maximum or minimum.
Graphing Quadratic Functions
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.