1. 9.2 Standard Form & Properties of Quadratics

2. Agenda Review hmwk Standard Form Min/Max on calculator Domain/Range
Application

3. Hmwk: p. 320 20.) shift down 2 21.) left 5
22.) shift right ) left 4, down 3
24.) shift left 2 up ) rt 4, down 9
26.) vert compressed by factor of 4/7
27.) reflected, vert stretch by 20
28.) horiz stretch by factor of 1/3
29.)
30.)

4. Hmwk: p. 320
32.)

5. 9.2 Properties of Quadratic Functions
Objectives:
Standard form calculator
Open application
Axis of symmetry y-intercept
Vertex domain and range
Min/max

6. I.) Review
Vertex form:
Graph it and describe it.
Vertex =
Shift =

7. II.) Standard Form Standard form:
Discovery activity with calculator on p. 9 and 10.
Step Pattern: move to the right one and up how many?

8. II.) Standard Form: Standard Form: Ex:
A.) How can I find the vertex in this form?

9. II.) Standard Form: Standard Form: Ex:
A.) How can I find the vertex in this form?
Find x of vertex using:
Plug in and find y of vertex

10. II.) Standard Form: Standard Form: Ex:
B.) How can I find the y-intercept?

11. Y-intercept = the C value
II.) Standard Form:
Standard Form:
Ex:
B.) How can I find the y-intercept?
Y-intercept = the C value

12. The vertical line that goes through the vertex
II.) Standard Form:
Standard Form:
Ex:
C.) How can I find the axis of symmetry?
The vertical line that goes through the vertex
X =

13. III.) Find the Min/Max on Calc.
Graph on calc:
Opens up = min, opens down = max

14. III.) Find the Min/Max on Calc.
Graph on calc:
Opens up = min, opens down = max
Find point on calc:
2nd, trace, down to 3:min or 4:max, go to left side of vertex, enter, right side, enter, enter
Can use table too

15. III.) Find the Min/Max on Calc.
Graph on calc:

16. IV.) Domain and Range Domain = x values, Range = y values
All real numbers =
Ex:
Use calc to find the vertex
What is the domain?
What is the range?

17. IV.) Domain and Range Ex: Use calc to find the vertex
What is the domain?
What is the range?

18. V.) Describe all the properties
Ex:
Opens?
Axis?
Vertex?
Yint?
Min/Max?
Domain?
Range?

19. V.) Describe all the properties
Ex:
Opens?
Axis?
Vertex?
Yint?
Min/Max?
Domain?
Range?

20. VI.) Application:
A soccer ball is modeled by:
Where h is the height in meters and x is the horizontal distance the ball travels in meters.
What is the maximum height the ball reaches?
At what distance is it?
What is the total distance traveled?