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Graphing Quadratic Functions - Maxima and Minima

Videos, worksheets, games and acivities to help Algebra students learn about how to graph quadratic functions (maxima and minima).

 

 

Graphing Quadratic Functions
Students are introduced to the parent graph for quadratic functions: y = x2. Students then learn how to graph quadratic functions, such as y = x2 + 2, and how to identify the vertex, minimum, x- and y-intercepts, axis of symmetry, one pair of symmetric points, and the domain and range of the graph. Finally, students are asked to compare their graph with the parent graph for quadratic functions.

 

 

Graphing Quadratic Functions
Students learn to graph quadratic functions that are written in f(x) = ax2 + 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.

 

 

The Max and Min of a Quadratic Function

 

 

Graphing Quadratic Functions
Graph quadratic functions and find axis of symmetry maximum or minimum find domain and range.

 

 

 

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