1. Section 10.2
GRAPH y = ax2 + bx+ c
I will graph general quadratic functions.

3. Example 1

4. Example 1

5. Example 2

6. Example 2
1.Determine whether the parabola opens up or down. Is |a| < or > 1 ??

7. Example 2
1.Determine whether the parabola opens up or down. Is |a| < or > 1 ??
2.Find and draw the axis of symmetry, x = -b/(2a)

8. Example 2
1.Determine whether the parabola opens up or down. Is |a| < or > 1 ??
2.Find and draw the axis of symmetry, x = -b/(2a)
3.Find and plot the vertex.

9. Example 2
1.Determine whether the parabola opens up or down. Is |a| < or > 1 ??
2.Find and draw the axis of symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose two x values less than the x value of the
vertex, then find the corresponding y values.

10. Example 2
1.Determine whether the parabola opens up or down. Is |a| < or > 1 ??
2.Find and draw the axis of symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose two x values less than the x value of the
vertex, then find the corresponding y values.
5.Reflect the points plotted in Step 4 in the axis of symmetry.

11. Example 2
1.Determine whether the parabola opens up or down. Is |a| < or > 1 ??
2.Find and draw the axis of symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose two x values less than the x value of the
vertex, then find the corresponding y values.
5.Reflect the points plotted in Step 4 in the axis of symmetry.
6.Draw the parabola through the plotted points.

12. Example 2

13. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2

14. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)

15. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.

16. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose
two x values less than the x
value of the vertex, then
find the corresponding y
values.

17. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose
two x values less than the x
value of the vertex, then
find the corresponding y
values.
5.Reflect the points plotted
in Step 4 in the axis of
symmetry.

18. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose
two x values less than the x
value of the vertex, then
find the corresponding y
values.
5.Reflect the points plotted
in Step 4 in the axis of
symmetry.
6.Draw the parabola
through the plotted points.

19. Example 2

20. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2

21. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)

22. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.

23. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose
two x values less than the x
value of the vertex, then
find the corresponding y
values.

24. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose
two x values less than the x
value of the vertex, then
find the corresponding y
values.
5.Reflect the points plotted
in Step 4 in the axis of
symmetry.

25. 1.Determine whether the
parabola opens up or
down. Is |a| < or > 1 ??
Example 2
2.Find and draw the axis of
symmetry, x = -b/(2a)
3.Find and plot the vertex.
4.Plot two points. Choose
two x values less than the x
value of the vertex, then
find the corresponding y
values.
5.Reflect the points plotted
in Step 4 in the axis of
symmetry.
6.Draw the parabola
through the plotted points.

28. Example 3

29. Example 3

30. Example 4

31. Example 4

32. Page 638 #
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