1. Warm up
Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted left 1

2. Warm up
Find the rate of change over the given interval.
0 ≤ x ≤ 2
3 ≤ x ≤ 5

3. GSE Algebra I Support
UNIT QUESTION: How are real life scenarios represented by quadratic functions?
Standard: MM2A3, MM2A4
Today’s Question:
How do we identify and analyze the characteristics for different quadratic models?
Standard: MM2A3.c.

4. Domain and Range: Graph
Look horizontally: What x-values are contained in the graph? That’s your domain!
Look vertically: What y-values are contained in the graph? That’s your range!

5. Domain and Range: Graph

6. Domain and Range: Graph

7. Domain and Range: Graph

8. Maximum and Minimum
Maximum value: the highest y value seen in the data or on the graph.
Minimum value: the lowest y value seen in the data or on the graph.

9. Max and Min: Graph

10. Max and Min: Graph

11. Zeros: Graph

12. Increasing and Decreasing: Graph
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.

13. Increasing and Decreasing

14. Increasing and Decreasing

15. Increasing and Decreasing

16. Axis of Symmetry
The axis of symmetry divides the parabola into mirror images and passes through the vertex.
It is written as a vertical (x = #) or horizontal line (y = #).
Notice the relationship between the axis of symmetry and the x and y points of the vertex.

17. End Behavior: Graph
The value a function, f(x), approaches when x is extremely large (∞) or when x is extremely small (-∞).

18. Identify the characteristics
Domain:
Range:
Extrema:
Zeroes:
Inc:
Dec:
AOS:
End Behavior:

19. Classwork/Homework