1. Bell Ringer 1. What is the Quadratic Formula?
2. How do you determine the Discriminant?
3. Which form of a Quadratic Function gives you the y-intercept immediately?
4. Which transformations are rigid motions?
5. Which transformation changes the size of a graph?

2. Transformations of the Quadratic Parent Function f(x) = x2
Monday, October 5, 2015

3. Each function has a “parent”. I call it the “OG” (original graph).
Parent Function
Each function has a “parent”. I call it the “OG” (original graph).
The Quadratic OG is f(x) = x2

4. Transformations of f(x) = x2
Transformations include:
1. Horizontal translation
2. Vertical translation
3. Reflection
4. Dilations

5. Horizontal Translations Vertex form: f(x) = a (x-h)2 + k (aka Complete the Square form)
If h is positive, the quadratic is translated right that amount.
If h is negative, the quadratic is translated left that amount.
REMEMBER>>> it’s the opposite EX: (x – 5) h is positive 5

6. Vertical Translations: Vertex form: f(x) = a (x-h)2 + k (aka Complete the Square form)
If k is positive, the quadratic is translated up that amount.
If k is negative, the quadratic is translated down that amount.

7. Reflection & Dilations Vertex form: f(x) = a (x-h)2 + k (aka Complete the Square form)
If a is negative, the quadratic flips across the x-axis.
If a is a fraction, the quadratic has a vertical compression (opens wider).
If a is greater than 1, the quadratic has a vertical stretch (opens skinnier).

8. 1. Convert the quadratic to vertex form (complete the square).
So, how do I tell (without graphing) what happens to a quadratic in standard form?
1. Convert the quadratic to vertex form (complete the square).
2. Look at “h”, “k”, and “a” to see what happens to the “OG”.

9. Assignments
Classwork: Quadratic Functions Transformations
Homework: Transformations of the Quadratic Parent Function, f(x)=x2
Remember… Tomorrow Study Guide Wednesday, Test Unit 3. Don’t miss it!