1. What is the terminology we use to analyze a quadratic function?
Standard: MM2A3.c.

2. What can you tell me about this graph?

3. Domain Range The x-values in the graph The y-values in the graph
Independent variables
What you put into the function
The y-values in the graph
Dependent variables
What you get out of the function

4. What is the domain and range?

5. What is the domain and range?

6. What is the domain and range?

7. Vertex
The minimum or maximum value of a quadratic function.

8. Axis of Symmetry
The vertical line through the vertex on the graph of a quadratic function.
Left side will EXACTLY mirror the right side.
ALWAYS follows the form x=_____.

9. Extrema Maximums Minimums The highest point on the graph
The lowest point on the graph

10. What are the maximum and minimum?

11. Zeros and Roots The points where the graph crosses the x-axis
Called a zero, because if you plug in the x-value, you get out a zero

12. What are the zeros?

13. Intervals of Increase Intervals of Decrease
To find where the graph is increasing and decreasing trace the graph with your finger from left to right. Specify x-values!
If your finger is going up, the graph is increasing.
If your finger is going down, the graph is decreasing.

14. Give the intervals of increase and decrease

15. Give the intervals of increase and decrease

16. Give the intervals of increase and decrease

17. Intercepts Where a function crosses an axis.
If it crosses the x-axis, it’s an x-intercept and y=0.
If it crosses the y-axis, it’s a y-intercept and x=0.
Make sure you know which part of the ordered pair is the zero!

18. Rates of Change
The average range of change between any two points is the slope of the line through the 2 points.

19. Find the average rate of change between x = -2 and x = 0

20. Analyze this graph
domain, range, axis of symmetry, vertex, extrema, intervals of increase and decrease, zeros