Graphing Simple Quadratic Functions
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The document discusses graphing simple quadratic functions by comparing graphs of equations of the form y = ax^2 + b and y = -1/2x^2 + c. It asks how changing the values of a, b, and c affects the parabola. Specifically, it asks how the graphs are alike and different, and how to identify the vertex of each. It notes that being able to identify the vertex from the equation will be helpful for graphing using a table of values. Finally, it discusses choosing appropriate domains and ranges when dealing with very small or large numbers.
Graphing Simple Quadratic Functions
- 1. Graphing Simple Quadratic Functions
- 2. Graph y = x 2 y = x 2 - 5 y = x 2 + 3 How are the graphs alike? How are the graphs different? Can you identify the vertex of each?
- 3. Graph y = -1/2 x 2 y = -1/2 x 2 + 4 y = -1/2 x 2 - 2 How are the graphs alike? How are the graphs different? Can you identify the vertex of each?
- 4. Think about it In the graphs we just looked at, there was no b. The value of b was what? How does changing the value of a in ax 2 + bx + c = y from positive to negative affect the parabola? How does changing the value of c in ax 2 + bx + c = y affect the parabola?
- 5. Think about it In some of the exercises, you will be asked to graph the problems using a table of values. How will being able to identify the vertex from the problem be helpful in graphing?
- 6. Choosing appropriate domain & range In real life problems, you may be dealing with numbers that are very small or very large and have to change your x and y Min & max Scale You may also deal with limited quadrants Example 2 on page 324