Graphing Quadratic Functions

Tutoring on Graphing Quadratic Functions

Learning Objectives:

Understand to Graph Quadratic Functions.

Math Tutoring on Graphing Quadratic Functions

A quadratic function looks like ax² + bx + c, where a, b and c are just numbers.  Quadratic functions can be of the following forms: 

1) Standard form f(x) = ax² + bx + c where a, b, and c are real numbers and a is not equal to zero. 

2) Vertex form f(x) = a(x - h)² + k where a, h, and k are real numbers and a does not equal zero.                                                                                                                                                                                                            

Following are the steps to graph quadratic functions:    

Step 1: Determine which form of quadratic functions.

Step 2: Define your variables a, b, and c (or a, h, and k).

Step 3: Calculate h and k. Plot the vertex.   

Step 4: If necessary, find and plot the x and y intercept.   

Step 5: If necessary, plot additional points, then graph.

 

 

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Hook Questions:

1.    How do you graph a function?

2.    How do you graph in standard form?

3.    How do you find the x intercept in vertex form?                    

 

 

 

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