1. Unit 3 Graphing Quadratics

2. Transformations of Quadratics in Vertex Form

3. Vertex Form for Quadratics
f(x) = a(x – h)2 + k

4. f(x) = a(x – h)2 + k h is TRICKY!
If h is POSITIVE then the graph moves LEFT.
If h is NEGATIVE then the graph moves RIGHT.
Axis of Symmetry: x = h
Special Case
If x is NEGATIVE inside then the graph reflects across the y-axis and h takes the sign you see.
If a is NEGATIVE then the graph reflects across the x-axis.
If |a| is less than 1, the graph SHRINKS.
If |a| is greater than 1 the graph STRETCHES.
If k is POSITIVE then the graph moves UP.
If k is NEGATIVE then the graph moves DOWN.
Vertex: (h, k)

5. NEGATIVE on the INside, what does this cause the graph to do?
Reflect across the y
(h will be the same as it’s sign)

6. NEGATIVE on the OUTside, what does this cause the graph to do?
Reflect across the x

7. Number less than 1 outside, what does this cause the graph to do?
Shrink by 3/4

8. Number greater than 1 outside, what does this cause the graph to do?
Stretch by 8

9. Add on the inside, what does this cause the graph to do?
Move LEFT 2

10. Subtract on the inside, what does this cause the graph to do?
Move RIGHT 7

11. Subtract on the outside, what does this cause the graph to do?
Move Down 3

12. Add on the outside, what does this cause the graph to do?
Move Up 5

13. DESCRIBE THE TRANSFORMATION (Remind me to talk about grades & behavior)

16. Write the equation of the pink graph

23. Vertex Form of a Quadratic WS
Class Work/Homework
Vertex Form of a Quadratic WS