1. QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.1 Quadratic Functions and Transformations EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

2. BELL WORK EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION. FYI- Current Q1 grades are posted in the back.

3. QUADRATIC FUNCTIONS AND TRANSFORMATIONS READ When considering transformations, we may wonder whether they can transform the graph of a quadratic function so that the parabola opens leftward or rightward. The graph can be transformed this way, for example, by a reflection in y=x. Understand that the graph of any quadratic function is a transformation of the graph of the parent function, x=x^2. The axis of symmetry is a line that divides the parabola in to two mirror images. Special note- Do not confuse the absolute value graph with a parabola. EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

4. THE PARENT QUADRATIC FUNCTION EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

5. CONCEPT SUMMARY EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

6. GRAPHING A FUNCTION OF THE FORM F(X) = AX 2 EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

7. GRAPHING A FUNCTION FOR THE FORM F(X) = AX 2 Now you try… EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

8. KEY CONCEPT EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

9. STOP AND TALK What can you say about the graph of a quadratic function if a is negative? Describe what a vertex is, and how to find it. Describe what an axis of symmetry is, how does knowing this help you graph a quadratic? EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

10. GRAPHING THE TRANSLATION OF F(X) = X 2 EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

11. GRAPHING THE TRANSLATION OF F(X) = X 2 Now you try… EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

12. TRANSLATION OF THE PARABOLA EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

13. USING VERTEX FORM EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

14. USING VERTEX FORM EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

15. WRITING A QUADRATIC FUNCTION IN VERTEX FORM If the parabola of a vertex is at (4, 5) and the parabola is not compressed or stretched vertically, what is the equation of this quadratic function? EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.

16. CLOSURE (On your bell sheet) Compare and Contrast Describe the difference between the graphs of y = (x + 6) 2 and y = (x – 6) 2 + 7 EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.