Which of the following equations of y = sin x has been transformed by a vertical shift down 3 units and stretch factor of 2?
a. y = sin 20
b. y = 2 sin +3
c. y = -2sin 8 - 3
d. y = 3 sin 0 - 2
e. y = 2sin 0-3

ANSWER

E.

EXPLANATION

The parent function

can be shifted down by 3 units to obtain

Also, when the basic sine function is stretched vertically by a factor of 2, the equation becomes,

Therefore, a vertical shift down 3 units and stretch factor of 2 gives the equation:

The correct choice is E.

translate k to n and reflect across the line containing jk.

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right