ANSWER
The graph shifts 5 units left and 3 units up.
EXPLANATION
The given functions are:

and

We want to transform f(x) so that, it coincide with the g(x).
The required transformation is 

Let us see why this works.


The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.
The third choice is correct.
 
        
                    
             
        
        
        
Wages wages wages wages wages wages wages wages wages wages wages wages wages 
        
             
        
        
        
Answer:
If the world is unfair to everybody isn't it still fair.
Step-by-step explanation:
ok ummm....
Why is Donald Trump president.
Why am I on brainly instead of doing my school work.
And, why are my socks not matching.
 
        
                    
             
        
        
        
Answer:
\[y = (-1/2) * x + 6\]
Step-by-step explanation:
Equation of the given line: y=2x+2
Hence the slope of the line is given by 2
Any line which is perpendicular to the given line will have a slope m such that m*2 = -1
Or, \[m = \frac{-1}{2}\]
Only options 2 and 3 satisfy this condition.
The line is also supposed to pass through the point (6,3).
Substituting these values in the option 2:
\[3 = (-1/2) * 6 + 3\]
Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.
Now substituting (6,3) in option 3:
\[3 = (-1/2) * 6 + 6\]
Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.
 
        
             
        
        
        
Answer:
25
Step-by-step explanation:
Step 1: 350:14
Step 2: 175:7
Step 3: 7/7= 1
Step 4: 175/7=25
350:14=25:1
The car will run 25 miles for each gallon of gas