Answer:

Step-by-step explanation:
g(x) is shifted 5 down in the y axis, meaning you have to subtract 5 from the function, and is shifted 4 to the left in the x axis- meaning you have to add to the x's in the function.
Answer:
The discovery of new resources can cause the LRAS curve to move.
Step-by-step explanation:
In the short-run, a new resource will not impact supply
Like the supply for maritime transportation when the steam-engine were invented.
At the beginning of the industrial revolution, the ship keep relying on sails. But, as time passes, the adoption of the new resource and method of production push the Long Run Aggregate Supply. As more transportation was possible with steam-engine using coal.
That will be the case for an improvement in the method of production. Then, following the same example, a change in a better quality of the resource like, replacing the coal engines with diesel engine generates an improvement in the quantity supplied as it is more efficient and can be used
Answer:
Step-by-step explanation:
The percentage of high school students who drink and drive at the beginning of 2001 = 17.5%
The percentage of high school students who drink and drive at the beginning of 20011 = 10.3%
Rate of decrease = 17.5 - 10.3 / 10
= .72
The required linear function
f(t) = - 0.72 x t + 17.5
b ) Rate of decrease in percentage = (17.5 - 10.3) / 10
= .72 %
c ) Percentage of high school students who drink and drive at the beginning of 2014
t = 2014 - 2011 = 13
f(t) = - 0.72 x t + 17.5
= - .72 x 13 + 17.5
= 8.14 %
If 60% of a number is 75, we have to know the following:
60%=3/5.
3/5 of 75 is 45.
Therefore, 60% of 75 is 45.
Function transformation involves changing the form of a function.
The parent absolute value function is:

If the parent function is shifted up by 1 unit, then the equation of the function would be

If the parent function is shifted right by 1 unit, then the equation of the function would be

If the above functions are stretched horizontally by a factor of 1/3, then the new functions would be


Read more about function transformation at:
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