1. Transformations of Functions

2. Warm-Up #
How is G(x) translated from f(x)?
G(x) = f(x) + 4
G(x) = f(x) – 5
G(x) = f(x – 6 )
G(x) = f(x + 7)
Make sure you have a calculator at the beginning of the period for each day from now on!!

3. HW Check – Transformations WS.

4. Essential Question ( )
2. How can we model transforming Quadratic functions with an equation?

5. Recall: What is a Function?
A FUNCTION is a relation that maps each x-value (domain) to EXACTLY one y-value (range). ***Meaning X values CANNOT Repeat*** Remember The domain = your x-values or input The Range = your y-values or output

6. Characteristics points at
What does the graph of
look like?
U Shaped
Lowest point is at the
origin (0,0)
Opens up
Symmetrical
Called a “Parabola”
Characteristics points at
(-2, 4), (-1, 1), (0,0), (1,1), (2, 4)

7. **Outside of Parenthesis** - Not with the “x”
+ Moves up – Moves down

8. **Inside the Parenthesis** - With the “x”
+ Moves LEFT – Moves right

9. Multiply by a “-” (negative)
Reflects across the x-axis

10. Multiply by a #
If # > 1 then it makes the quadratic more narrow “Vertical Stretch” – Pulling up towards the y-axis If 0 < # < 1 then is makes the quadratic wider “Vertical Compression” – pulling away from the y-axis

11. Warm-up 1
Solve the following quadratics Using the discriminat, determine the number and type of solutions for the quadratic: 3.