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.

c.

step-by-step explanation:

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: