Lesson Overview:

 

• Graphing Parabola

• Writing Equations of Parabola

 

Part A: Graphing Parabola

Helpful Video: https://www.youtube.com/watch?v=3bofvTax5Tk&list=PL6S08t2cIqdL6GCO6SP6lLeHMRF93j-To&index=11

 

Key Concepts: A parabola is a locus of points on a plane so that each point is the same distance from a line (called the directrix) and a fixed point (called the Focus)

 

 

 

 

 

 

 

 

Darkest Dot: Focus

Dotted Line: Directrix

 

Part B: Writing Equations of Parabola

Helpful Videos: https://www.youtube.com/watch?v=db9cteiQGU4&list=PL6S08t2cIqdL6GCO6SP6lLeHMRF93j-To&index=12

https://www.khanacademy.org/math/algebra2/intro-to-conics-alg2/focus-and-directrix-of-a-parabola-alg2/v/equation-for-parabola-from-focus-and-directrix

Key Concepts: Using Vertex, Focus, or Directrix, write out the equation of the parabola

 

 

 

 

 

 

 

 

 

 

 

 

Here we solve a quadratic exponential equation by changing standard form to exponential form then checking. After changing 2x to “a” we continue to solve as a quadratic equation.

 

SAT Testing

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Real World Application 

 

 

 

 

 

 

 

 

Conclusion:

After this lesson, students should be able to predict the shape of rational functions by using sign diagrams. After their predictions, they should be able to graph the functions on graph paper by following the basic rules learned. These skills can be used to predict the graph of rational functions when given the equation as shown in the example above.