Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards 
b) g(x) = 3x² - 1 + 3
 g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex. 
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
 
        
             
        
        
        
Answer: 135 days
Step-by-step explanation:
Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem, 
z = (x - µ)/σ
Where
x = sample mean 
µ = population mean 
σ = standard deviation
From the information given,
µ = 21 minutes
σ = 3.5 minutes
the probability that her commute would be between 19 and 26 minutes is expressed as 
P(19 ≤ x ≤ 26) 
For (19 ≤ x),
z = (19 - 21)/3.5 = - 0.57
Looking at the normal distribution table, the probability corresponding to the z score is 0.28
For (x ≤ 26),
z = (26 - 21)/3.5 = 1.43
Looking at the normal distribution table, the probability corresponding to the z score is 0.92
Therefore,
P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64
The number of times that her commute would be between 19 and 26 minutes is 
0.64 × 211 = 135 days
 
        
             
        
        
        
Answer:
7x + 2y = -22
Step-by-step explanation:
Standard form looks like Ax + By = C.
Start with Y = -7/2x-11.  Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.
Move the (-7/2)x term to the left:
(7/2)x + y = -11
Multiply all terms by 2 to eliminate the fractions:
7x + 2y = -22 (answer)
 
        
             
        
        
        
Answer:
Divide the number of minutes by 60.
Step-by-step explanation:
 
        
             
        
        
        
I'm not sure about part B, but part A will have the answer "if Ron eats lunch today, then he will drink a glass of milk" (without quotes of course)
The idea is that we have these arguments in symbolic form
P = Ron eats lunch today
Q = Ron eats a sandwich
R = Ron will drink a glass of milk
The format is 
"If P then Q" ----> "if Q then R"  so therefore "If P then R"
We see that P leads to Q, then Q leads to R. So overall P leads to R. We connect them as a chain of sorts. We can skip over Q since we know the first point will lead to the last. Think of it as a shortcut of sorts.