1-9 Parent Function
F(x) represents a function. C represents a number. Describe what happens when we do the following?
y = f (x) + c :
y = f (x) - c :
y = f (x - c) :
y = f (x + c) :
y = f (-x) :
y = - f (x) :
y = af(x) :
y = f(ax):
f ( x) 
1.
1
x
2
Parent:
2. h(x) =
Parent
Transformations:
Transformations:
3.
4.
Parent
Parent
Transformations:
Transformations:
5.
Parent
Transformations:
6.
Parent
Transformations:
7.
8.
Parent
Parent
Transformations:
Transformations:
9.
10.
Parent
Transformations:
Parent
Transformations:
11.
12.
Parent
Parent
Transformations:
Transformations:
For problems 10 – 15, given the parent function and a description of the transformation, write the
equation of the transformed function, f(x).
13.
Cubic value—vertical shift up 5, horizontal shift right 3. ___________________________________
14. Linear—vertical shrink by
2
________________________________________________
5
15. Square Root —reflected over the x axis, vertical shift down 2.____________________________________
16. Cubic—vertical stretch by 8 ________________________________________________________
17. Quadratic—vertical stretch by 5, horizontal shift left 8.______________________________________