Question

find values of a and d such that f(x)=asin3x+d has a range of 3 13 years ago

Answer 1

from 3 to 7 is 4 units, so you want the amplitude to be 2

Answer 2

in other words you want
\[f(x)=2\sin(3x)+d\]

Answer 3

without the \(d\) part, \(2\sin(3x)\) would go from \(-2\) to \(2\) but you want it to go from \(3\) to \(7\) so lift it up 3 units by making
\[f(x)=2\sin(3x)+3\]

Answer 4

no, that is wrong sorry

Answer 5

you want it to go from 3 to 7 so you have to lift it up FIVE units

Answer 6

\[f(x)=2\sin(3x)+5\] will do the job