Answer:
c. observational study
Step-by-step explanation:
<em>Researchers compare the rates of autism for children who did and did not receive the standard measles-mumps-rubella vaccine, to see if the vaccine might be responsible for autism in some children.</em>
This study design in the above scenario is observational study because the researcher are obviously observing whether the vaccine is affecting the children. Note that Observational study is like experiment which attempts to understand the cause and effect relationships on a subject.
Answer:
Function
is shifted 1 unit left and 1 unit up.

Transformed function 
Step-by-step explanation:
Given:
Red graph (Parent function):

Blue graph (Transformed function)
From the graph we can see that the red graph is shifted 1 units left and 1 units up.
Translation Rules:

If
the function shifts
units to the left.
If
the function shifts
units to the right.

If
the function shifts
units to the up.
If
the function shifts
units to the down.
Applying the rules to 
The transformation statement is thus given by:

As function
is shifted 1 unit left and 1 unit up.
Transformed function is given by:

Alright, so 3f-g=4 and f+2g=5.
3f-g=4
f+2g=5
Multiplying the first equation by 2 and adding it to the second, we get 7f=13 and by dividing both sides by 7 we get f=13/7. Since f+2g=5, then we can plug 13/7 in for f to get 13/7+2g=5. Next, we subtract 13/7 from both sides to get 2g=3+1/7=22/7 (since 3*7=21 and 21+1=22). DIviding both sides by 2, we get 22/14=g. Plugging that into f/39g, we get (13/7)/(22*39/14)
= (13/7)/(858/14)
= (13/7)*(14/858)
=182/6006
= 91/3003 (by dividing both numbers by 2)
= 13/429 (by dividing both numbers by 7)
= 1/33 (by dividing both numbers by 13)
It is 2 because no variable