This document outlines 18 examples of graphs of quadratic functions in standard form. The examples systematically vary the parameters a, b, and c to demonstrate how changing these parameters affects the shape and position of the graph of the quadratic function. Specifically, it explores how the graph is impacted when a, b, and c are positive versus negative values, as well as when they are equal to zero.

1. Graphs of Quadratic Functions in
Standard Form

2. Overview
This set of tutorials provides 18 examples of
graphs of quadratic functions in Standard Form

3. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 1. In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b > 0, c > 0.

4. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 2. In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b > 0, c < 0.

5. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 3. In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b < 0, c > 0.

6. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 4. In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b > 0, c > 0.

7. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 5. In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b < 0, c < 0.

8. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 6. In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b < 0, c > 0.

9. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 7. In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b > 0, c < 0.

10. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 8. In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b < 0, c < 0.

11. Tutorial--Graphs of Quadratic Functions in Standard Form: Example
9. In this example, the graph of a quadratic function in standard form
has these parameters: a > 0, b = 0, c > 0.

12. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 10. In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b = 0, c < 0.

13. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 11 In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b = 0, c > 0.

14. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 12 In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b = 0, c < 0.

15. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 13 In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b > 0, c = 0.

16. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 14 In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b < 0, c = 0.

17. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 15 In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b > 0, c = 0.

18. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 16 In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b < 0, c = 0.

19. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 17 In this example, the graph of a quadratic function in
standard form has these parameters: a > 0, b = 0, c = 0.

20. Tutorial--Graphs of Quadratic Functions in Standard Form:
Example 18 In this example, the graph of a quadratic function in
standard form has these parameters: a < 0, b = 0, c = 0.