1. Graphic Organizer for Transformations

2. up down left right Topic: Transformations of graphs What is it? Types:
Shifting, stretching, shrinking, and reflecting of parent graphs
Vertical or Horizontal shift
Vertical Stretch or Shrink
Types:
Reflection
Add outside
Multiply by Fraction (less than 1)
Multiply by negative (-) up
MOVES _______________
Causes the graph to _____________________
_____________________
Causes the graph to ____________________
Reflect across the x-axis (flip)
Subtract outside
Shrink vertically
down
MOVES _______________
Examples
Multiply by integer
Add inside
left
Causes the graph to ____________________
MOVES _____________
Stretch vertically
Subtract inside
right
MOVES _____________

3. Transformations

4. General Form for Absolute Value
Vertex Form for Quadratics

5. What does a do?
If a is negative, the graph flips down. Reflection over the x axis.
If a is positive, the graph opens up.

6. What does a do?
If |a| > 1, the graph stretches vertically.
If |a| < 1, the graph shrinks vertically.

7. Tell whether the graph of the function opens up or flip down and if it shrinks or stretches.
Flip down & stretch
Opens up & stretch
Opens up & shrink
Flips down & stretch
Flips down

8. What does h do? If h is positive, graph moves left.
If h is negative, graph moves right.
h is tricky, it is the opposite sign of what you see.

9. What does k do? If k is positive, graph moves up.
If k is negative, graph moves down.

10. Describe the transformations (opens up/flip down, stretch/shrink, move left/right, move up/down,).
Flip down, stretch, Move left 3, down 5,
Flip down, stretch, Right 1, up 6,
Open up, shrink, Right 2, up 9,
Open up, shrink, Down 2,
Open up, stretch, Left 1, down 2,

11. How do you find the vertex?
VERTEX is (h, k)
h is TRICKY, he is the opposite sign of what you see.

12. Identify the vertex of the graph of the given function.
(0, -3)
(1, 2)
(-3, -5)
(7, -2)
(-3, 0)