For a given function ƒ(x) = x5, a translation in the positive y-direction of two units is represented by which of the following? Question 5 options:

A)

ƒ(x + 2) = ( x – 2)5

B)

ƒ(x + 2) = (x + 2)5

C)

ƒ(x) – 2 = x5 – 2

D)

ƒ(x) + 2 = x5 + 2

D)  ƒ(x) + 2 = x5 + 2

Step-by-step explanation:

You have the following function:

          (1)

In the case of a vertical translation of the function on the coordinate system, you have that a translation of a units upward is obtained with the function f(x)+a. In the same way, a translation downward is obtined with f(x)-a.

Thus, a translation in the positive y direction of 2 units (a=2) is given by the following function.

D) ƒ(x) + 2 = x5 + 2

86

step-by-step explanation:

find the area of the triangle then multiply by 2 then add the area of the parollelegram multiplied by 2

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .