Graphing Quadratic Functions

Students learn to graph quadratic functions that are written in f(x) = ax^2 + bx + c form, using the vertex, the y-intercept, and the x-intercepts. The x-coordinate of the vertex can be found using the formula "–b/2a", and the y-coordinate of the vertex can be found by substituting the x-coordinate of the vertex into the function for x. The y-intercept is equal to "c", and the x-intercepts can be found by substituting a 0 into the function for f(x). Note that students are also asked to write the equation of the axis of symmetry of the given function, and find the domain, range, and maximum or minimum.