1. if a function f(x) is shifted to the left one unit, what function represents the transformation?
a. f(x+1)
b. f(x-1)
c. f(x)+1
d. f(x)-1

2.let g(x) be the reflection of f(x)=x^2+5 in the x-axis. what is a function rule for g(x)?
a. g(x)=-x^2-5
b. g(x)=x^2+5
c. g(x)=x^2-5
d. g(x)=-x^2+5

3. what transformations change the graph of f(x) to the graph of g(x)?

4. write an equation for the following transformation of y=x: a vertical stretch by a factor of 6.
a. y=6x
b. y=x/6
c. y=x+6
d. y=x-6

The correct answers are:
1) A;
2) A;
4) D 
3 cannot be done because the graph is not shown.

Explanation: 
1) Shifting a graph to the left, we would normally think of subtracting 1 from the function. However, horizontal translations are the opposite; left means adding 1 to x, while right means subtracting 1 from x.

2) A reflection in the x-axis means the y-coordinate will be negated (the opposite sign). This means that g(x)=-f(x)=-(x^2+5=-x^2-5.

4) To perform a vertical stretch of a function, we multiply by the factor; this gives us y=6x.