LESSON-Effects of changing a,h and k in the Graph of Quadratic Function

This is my simple lesson presentation of the changes if a, h and k in a Quadratic function

1. Let’s PRAY…

2. Transforming bx+c into k  

3. From   We can transform them by means of Completing the square or by h, k formula. We arrived at   Where h,k is the vertex.

4. Supposed that our vertex is at the Origin (0,0), what would be our equation?   ( h.k ) = (0,0)    

5. The graph of a quadratic function in whose vertex is at the origin.   PARABOLA

6. GROUP A CTIVITY

7. Using the Graph Calc . Follow the direction given to your group, and answer the guide questions.

8. Description 3 2 1 GRAPH-GraphCalc The graph is illustrated completely correct One part is missing in the illustration No Graph is presented CONTENT/Explanation The questions are answered completely One or two questions is unanswered. No questions is answered Neatness Strongly Observed Fairly observed Needs Improvement TOTAL       RUBRICS: (GROUP ACTIVITY)

9. How would you describe the opening of the graph of a quadratic function as the value of “ a” becomes larger/smaller? How do the value of “a” affects the opening of the graph? How would you compare the movement of the vertex of the graph of y=ax 2 to y=a(x-h) 2 and y=ax 2 +k?

10. As the value of “a” becomes larger the opening of the graph becomes narrower, and as the value of “a” becomes smaller its opening becomes wider. If the value of a>0, it opens upward and if a<0 it opens downward. The graph of y=a(x-h) 2 , whose vertex is (h,0) if h>0 the vertex slides h units to the right, and if h <0, it slides h units to the left. The graph of y=ax 2 +k, whose vertex is (0,k) if k>0 the vertex slides k units to the upward, and if k<0, it slides k units to the downward. The graph of y=(a-h) 2 +k,slide the graph of y=ax 2 moves h units horizontally and vertically k units.

11. VALUE >0 <0 a (opening) upward downward h(horizontally) right left K (vertically) upward downward

12. Graph me.. Describe me…

13. QUADRATIC FUNCTION 1 QUADRATIC FUNCTION 2 QUADRATIC FUNCTION 3 QUADRATIC FUNCTION 4

14. Given the following quadratic functions. Describe its graph. In terms of the following: Vertex, Opening and the movement of the vertex. QUADRATIC FUNCTION VERTEX OPENING MOVEMENT OF THE VERTEX 6 QUADRATIC FUNCTION VERTEX OPENING MOVEMENT OF THE VERTEX

15. Quadratic Function Vertex Opening Movement of the vertex 0,8 Upward moves 8 units upward from the origin 4,0 Downward moves 4 units to the right. 0,3 Upward moves 3 units downward 6 3,6 Downward moves 3 units to the right and 6 units upward Quadratic Function Vertex Opening Movement of the vertex 0,8 Upward moves 8 units upward from the origin 4,0 Downward moves 4 units to the right. 0,3 Upward moves 3 units downward 3,6 Downward moves 3 units to the right and 6 units upward

16. ASSIGNMENT: (Notebook) Given the graph of a quadratic function, how would you determine the equation? Ref: LM in Math 9 page 156-168

17. DANCE