1. Function Transformations
Family
Parent
Graphing
Calculator
Cubic
Hyperbola
Square Root
Exponential

2. Families of Functions Do your Work in Pencil! Quadratics Cubics
Hyperbola
Square Root
Exponential
Linear

3. Quadratic x -2 -1 1 2 y 4 Parent Equation: General Equation: Domain:
y=k
General Equation:
Domain:
Range:
x=h
(Depending on if a is positive or negative) x -2 -1 1 2 y 4

4. Cubic
Parent Equation:
y=k
General Equation:
Domain:
Range:
x=h

5. Hyperbola
Parent Equation:
General Equation:
y=k
Domain:
Range:
x=h

6. Square Root Parent Equation: General Equation: Domain: Range:
y=k
Range:
(Depending on if a is positive or negative)
x=h

7. Exponential Parent Equation: a General Equation: Domain: Range: y=k
x=h

8. Linear Slope = a Parent Equation: General Equation: Domain: Range: y=k
x=h

9. Absolute Value Parent Equation: General Equation: Domain: Range:
y=k
Range:
x=h
(Depending on if a is positive or negative)

10. Sleeping Parabola Parent Equation: General Equation: Domain: Range:
x=h
Parent Equation:
y=k
General Equation:
Domain:
(Depending on if b is positive or negative)
Range:

11. Circle
x=h
Parent Equation:
General Equation:
Domain:
y=k
Range:

12. Standard to General: Quadratic
y = 3x2 – 18x – 10

13. Standard to General: Quadratic
y = x2 + 8x + 25

14. Standard to General: Circle
x2 + 6x + y2 - 12y - 9 = 0

15. Standard to General: Circle
4x2 - 24x + 4y2 + 32y - 4 = 0