Graphing Quadratic Function - MATHEMATICS 9

gRAPHING PARABOLA

1. 5 – minute check Transform the following quadratic functions into vertex form.  

2. What if? What if we wanted to see how each function looks like, what are we going to do?

3. Graphing quadratic functions AGILA

4. Learning objectives Determine the maximum/minimum point, axis of symmetry and direction of the opening of the graph of the given quadratic function; Graph a quadratic function(M9AL-Ig-h-i-1); and Display accuracy and neatness in sketching graphs.

5. Steps in graphing quadratic function 1 Find the vertex and the line of symmetry by expressing the function in the form y = a(x-h) 2 +k or by using the formula .            

6. vertex Turning point of the parabola Given by the coordinate   Minimum point if , parabola is opening upward   Maximum point if , parabola is opening downward   is the minimum or maximum value of the function  

7. Axis of symmetry A line that divides the graph into two parts such that one-half of the graph is a reflection of the other half The line is the axis of symmetry  

8. Vertex =    

9. Steps in graphing quadratic function 2 On one side of the line of symmetry, choose at least one value of and compute the value of  

10. i f            

11. Steps in graphing quadratic function 3 Similarly, choose at least one value of on the other side and compute the value of  

12. i f             4 Plot the points and connect them by a smooth curve

13. Describe the graph!   Vertex ___________   Opening of the graph__________   Vertex is a _____________ point   Equation of the axis of symmetry ________   Domain: __________________________   Range: _ _ __________      

14. Describe the graph!   Vertex ___________   Opening of the graph__________   Vertex is a _____________ point   Equation of the axis of symmetry ________   Domain: __________________________   Range: ____________      

15. Your Turn! Sketch the graph of each quadratic function and identify the vertex, domain, range, and the opening of graph. State whether the vertex is a minimum or a maximum point and write the equation of the axis of symmetry.  

16. Describe the graph!   Vertex ___________   Opening of the graph__________   Vertex is a _____________ point   Equation of the axis of symmetry ________   Domain: __________________________   Range: ____________