To transform the function

to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have

To transform the function

to have the midline

we need to subtract

by 4, so we have

,
To transform the function

to have period of

, we need to divide the original period

by 4, so we have

. Note that it is the

gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given

which is the last option
Count the votes, counting each sophomore ballot as 1.5 votes and each freshmen ballot as 1 vote.
ur doing this because there is 200 more freshmen then sophomores...and if u count each sophomore vote as 1.5, it would make up for the 200 more freshmen
Answer:
sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/2
2 sin 45 =x
2 ( sqrt(2)/2) =x
sqrt(2) =x
Answer:
-5/7
Step-by-step explanation:
Look at the graph. As we move from left to right from (-3, 2) to (4, -3), x increases by 7 and y decreases by 5. Thus, the slope is
m = rise/run = -5/7.