The answer is : f(x) =3sin(2x+pi/2)
Explain
There 0,3 on the graph
You use this formula
f(x)=asin(kx-c)+h
and the maximum and minimum value of this function
a+ h and -a+ h
So a=3 and h=0
So we have
We have; f(x)= 3sin(kx - c)
and we have from the graph;
f(O)=3
So
Sin(-c) =-1
Therefore C=. Pi/ 2 +2pi n
We have period of the function is pi
2pi/ k
k=2
So it will equal Pi
Do you have any doubts ?
12.2
((12) - (0))^2 + ((3) - (5))^2
The best step to do next is to add 80 to both sides of equation:
5 ( x² + 8 x ) + 80 = 14 + 80
and since 80 = 5 · 16
5 ( x² + 8 x + 16 ) = 94 Answer : B )
After that we will continue like this:
5 ( x + 4 )² = 94
( x + 4 )² = 18.8 ... etc
