Mastering Quadratic Functions: Graphing Through Transformations

Explore the vertex form of quadratic equations, understand transformation rules, and learn step-by-step methods for graphing quadratics with examples and practice problems. Enhance your skills in identifying vertices, plotting points, and visualizing the U-shaped graphs of quadratic functions.

• Quadratic Functions
• Graphing
• Transformations
• Vertex Form
• Mathematics

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Uploaded on Jul 29, 2024 | 0 Views

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1. Graphing Quadratics 4.2 Vertex Form

2. Vertex form vertex form: where (h, k) is the vertex Parent graph of y = x^2

3. Transformation rules for quadratic Parent : moves left or right the opposite of the sign moves up or down with the sign vertical stretch if a > 1, vertical shrink if 0< a < 1 reflects across the x-axis (turns up-side-down)

4. Steps for Graphing quadratics through transformations Find the vertex this is (h, k) remember h is opposite sign Plot the vertex Create a table to graph four more points two on each side of the vertex Column 1 labeled x Column 2 labeled f(x) Plug the numbers into the equation Using the numbers from the table to plot your other four points Draw in your U shape

5. Example

6. Example

7. Example

8. Example

9. You Try

10. Homework Worksheet 1-12 (Do a, b, c, and d for all problems)