1. Before: March 12, 2018 Evaluate x² + 5x for x = 4 and x = -3.
Generate ordered pairs for the function y = x² + 2 with the given x-values. x y -2 -1 1 2

2. During: Identifying Quadratic Functions
Learning Targets:
I can:
Identify quadratic functions
(from an equation & table of values)
Graph quadratic functions
(using a table of values)

3. The function y = x² is shown below.
Is this graph linear? _____

4. This graph is a quadratic function
This graph is a quadratic function. A quadratic function is any function that can be written in the standard form:
y = ax² + bx + c

5. Previously, you identified linear functions by finding that a constant change in x corresponded to a constant change in y.

6. x 1 2 3 4
y = x²
This is the case for ALL quadratic functions!

7. “I Do” Identifying Quadratic Functions
Tell whether each function is quadratic. Explain. X Y -4 8 -2 2 4

8. “I Do” Identifying Quadratic Functions
Tell whether each function is quadratic. Explain.
y = -3x + 20

9. “I Do” Identifying Quadratic Functions
Tell whether each function is quadratic. Explain.
y + 3x² = -4

10. “We Do” Identifying Quadratic Functions
Tell whether each function is quadratic. Explain. X Y -2 4 -1 1 2

11. “We Do” Identifying Quadratic Functions
Tell whether each function is quadratic. Explain.
y + x = 2x²

12. “You Do” Identifying Quadratic Functions
Tell whether each function is quadratic. Explain.
y = 7x + 3
3. y – 10x² = 9 X Y -2 -9 -1 1 2 7

13. The graph of a quadratic function is a curve called a parabola
The graph of a quadratic function is a curve called a parabola. To graph a quadratic function, generate enough ordered pairs to see the shape of the parabola. Then connect the points with a smooth curve.

14. “I Do” Graphing Quadratic Functions by Using a Table of Values
Use a table of values to graph each quadratic function.
y = 2x²

15. “We Do” Graphing Quadratic Functions by Using a Table of Values
Use a table of values to graph each quadratic function.
y = x² + 2

16. “You Do” Graphing Quadratic Functions by Using a Table of Values
Use a table of values to graph each quadratic function.
y = x² - 5

17. Homework:
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