For this case, the parent function is given by:

We apply the following transformations:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units upwards:
For k = 9 we have:

Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right
For h = 4 we have:

Answer:
The function g (x) is given by:

Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
Answer: 2.5 miles per hour
Step-by-step explanation:
this problem is all about conversions
220 ft per minute
first get it to hours, since there is 60 minute in an hour multiply by a factor of 60
220 ft per minute becomes 13200 ft per hour
then you need to covert from ft to mi, there are 5280 ft in 1 mi so divide by 5280
13200 ft per hour becomes 2.5 miles per hour
Answer:
a
Step-by-step explanation:
it is being reflected of the other end