3. Quadratic
Function
non linear function
that can be written
in standard form,
y = ax2 + bx + c
4. Quadratic Parabola
Function U-shaped graph that
non linear function a quadratic function
that can be written makes
in standard form,
y = ax2 + bx + c
5. Quadratic Parabola
Function U-shaped graph that
non linear function a quadratic function
that can be written makes
in standard form,
y = ax2 + bx + c
6. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes
in standard form,
y = ax2 + bx + c
7. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes
in standard form,
y = ax2 + bx + c
8. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes The vertex of the
in standard form, parent equation
y = ax2 + bx + c y = x2 is (0,0)
9. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes The vertex of the
in standard form, parent equation
y = ax2 + bx + c y = x2 is (0,0)
10. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes The vertex of the
in standard form, parent equation
y = ax2 + bx + c y = x2 is (0,0)
11. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes The vertex of the
in standard form, parent equation
y = ax2 + bx + c y = x2 is (0,0)
Parent Quadratic Function
the most basic quadratic equation, y = x2
12. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes The vertex of the
in standard form, parent equation
y = ax2 + bx + c y = x2 is (0,0)
Axis of Symmetry
the line that passes through the vertex and
divides the parabola in two symmetrical
parts. The a of s of y = x2 is x=0
Parent Quadratic Function
the most basic quadratic equation, y = x2
13. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes The vertex of the
in standard form, parent equation
y = ax2 + bx + c y = x2 is (0,0)
Axis of Symmetry
the line that passes through the vertex and
divides the parabola in two symmetrical
parts. The a of s of y = x2 is x=0
Parent Quadratic Function
the most basic quadratic equation, y = x2
14. Quadratic Parabola Vertex
Function U-shaped graph that the lowest or highest
non linear function a quadratic function point on a parabola
that can be written makes The vertex of the
in standard form, parent equation
y = ax2 + bx + c y = x2 is (0,0)
Axis of Symmetry
the line that passes through the vertex and
divides the parabola in two symmetrical
parts. The a of s of y = x2 is x=0
Parent Quadratic Function
the most basic quadratic equation, y = x2
17. ★Step 1: Example 1
Make a table of
values
★Step 2:
Plot the points
from the tables
18. ★Step 1: Example 1
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
19. ★Step 1: Example 1
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
★Step 4:
Compare the
graphs (vertex,
axis of symmetry,
vertical stretch)
22. ★Step 1: Example 1
Make a table of
values
★Step 2:
Plot the points
from the tables
23. ★Step 1: Example 1
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
24. ★Step 1: Example 1
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
★Step 4:
Compare the
graphs (vertex,
axis of symmetry,
vertical stretch)
25. Graph y = 1/2x2. Compare the
Example 2 graph with the graph of y = x2
26. Graph y = 1/2x2. Compare the
★Step 1: Example 2 graph with the graph of y = x2
Make a table of
values
27. Graph y = 1/2x2. Compare the
★Step 1: Example 2 graph with the graph of y = x2
Make a table of
values
★Step 2:
Plot the points
from the tables
28. Graph y = 1/2x2. Compare the
★Step 1: Example 2 graph with the graph of y = x2
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
29. Graph y = 1/2x2. Compare the
★Step 1: Example 2 graph with the graph of y = x2
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
★Step 4:
Compare the
graphs (vertex,
axis of symmetry,
vertical stretch)
32. ★Step 1: Example 2
Make a table of
values
★Step 2:
Plot the points
from the tables
33. ★Step 1: Example 2
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
34. ★Step 1: Example 2
Make a table of
values
★Step 2:
Plot the points
from the tables
★Step 3:
Draw a smooth
curve through
the points
★Step 4:
Compare the
graphs (vertex,
axis of symmetry,
vertical stretch)
35. Comparing to
y=x 2
When |a|>1, then there is a vertical stretch,
by a factor of a.
When |a|<1, then there is a vertical shrink,
by a factor of a.
When a is negative, whether a>1 or a<1,
then there is a reflection in the x-axis.
40. Comparing to
y=x 2
When |a|>1, then there is a vertical stretch, by a factor of a.
When |a|<1, then there is a vertical shrink, by a factor of a.
When a is negative, whether a>1 or a<1, then there is a reflection in the x-axis.
When c is positive, then there is a vertical
translation up c units.
When c is negative, then there is a vertical
translation down c units.
