1. 9.1: GRAPHING QUADRATICS ALGEBRA 1

2. OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form What does the graph of a quadratic look like? https://www.desmos.com/calculator

3. WHAT CAN I FIND FROM MY GRAPH?

4. HOW DO I GRAPH IN STANDARD FORM? xa.o.s. y

5. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

6. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

7. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

8. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

9. HOW DO I GRAPH IN VERTEX FORM? x y

10. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

11. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

12. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

13. What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

14. HOW DO I GRAPH IN INTERCEPT FORM?

19. HOMEWORK 9.1 Packet Page DUE MONDAY, FEBRUARY 23 rd !

20. 9.2 SOLVING QUADRATIC EQUATIONS BY GRAPHING Quadratic Equation Solve by Graphing The solutions of a quadratic equation are called the roots of the equation. The roots of a quadratic equation can be found by graphing the related quadratic function f(x) = a x2 + bx + c and finding the x-intercepts or zeros of the function.

21. HOW TO SOLVE BY GRAPHING

22. EXAMPLE 1: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

23. EXAMPLE 2: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

24. PRACTICE 1: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

25. ON YOUR OWN: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

26. 9.3 TRANSFORMATION OF QUADRATIC FUNCTIONS Translations: A translation is a change in the position of a figure either up, down, left, right, or diagonal. Adding or subtracting constants in the equations of functions translates the graphs of the functions.

27. TRANSFORMATIONS