There are many ways a problem can be simplified. You can divide by the GCF (Greatest Common Factor) or even factor which depending on where you are in math you may or may not have learned. For your problem, I will use the first method.
3m-8 can be multiplied by any term (keep it simple):
2(3m-8) = 6m-16
4(3m-8) = 12m-32
Your answers should be 6m-16 and 12m-32.
Neither train a or train b
Answer:
y = (x-3)^2 -16
Step-by-step explanation:
y = x^2 -6x-7
We need to complete the square
b= -6
b/2 = -6/2 = -3
(b/2) ^2 = (-3)^2 =9
Add 9 then subtract 9 to balance the equation
y = x^2 -6x +9 -9 -7
y = (x^2 -6x+9) -16
The terms in parentheses is (x-b/2)^2
y = (x-3)^2 -16
This is in vertex form
The vertex is (3,-16)
The product of a number (we will call it x) and 13 is 13*x. Or 13x
The asymptote for f(x) is y = 0
Notice the asymptote for g(x) is y = -1, which shift f(x) down 1
apply this to f(x)'s rule: 
Notice the graph of f(x) is shifted right 2 units...this horizontal movement must be applied to the x in f(x)'s rule: 