Given f(x)=2^x and g(x)= f(x-3)+4, write the new function rule (equation) for function g and describe (using words) the two transformations that occur between the function f and the function g *Some good words to consider using would include horizontal, vertical, stretch, compression,
translation, reflection, and phrases such as “to the left”, “to the right”, “up”, “down”, “by a
factor of__, or ”over the __ axis”.

Just like Transformations in Geometry, we can move and resize the graphs of functions. Let us start with a function, in this case it is f(x) = x2, but it could be anything: ... g(x) = x2 + C. Note: to move the ... If you change that to (age+4) = 25 then you will get it when you are 21. Adding 4 ... Example: the function v(x) = x3 - x2 + 4x.

Step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet