Tell me in words what is happening to this function: 
flips over x-axis, left 4
What is the equation?

-x2

Make a new table for 
y values move up 3
Is this a function?

No
Write f(x)=x2 with these changes: 
g(x)= (-(x-2))2
Graph: 
Look at graphs
Given: 
What happens when:
all x-values change signs
Is this a function?

Yes
Tell me in words what is happening to the function f:

flips over y-axis, left 5, and down 2
Write the equation:

-(x+3)3+4
Given: 

x's move right 3, y's down 1
Evaluate f(-3)

100
In function notation, write the changes: reflect over the y-axis and go up 2
g(x)=f(-x)+2
Write the equation:

-(1/(x+1)2)-2

y-values change signs then add 4
Given:
Evaluate:

-4x+6
In function notation, write the change: reflects over the x and y axis, right 6, and up 1
Graph: 
flip over x and y, left 3, up 4

x-values negate then add 2, y-values add 4
Find the domain:
X is greater than or equal to -8 but not equal to 92