let the graph of g be horizontal shrink by the factor of 2/3 followed by a translation 5 units left and 2 units down of the graph of f (x) =x ^ 2

1. horizontal shrink by factor of 2/3 means multiply outside the f(x) or outside the x^2 by 2/3:

   (2/3)•f(x)

2. translation left 5 units means "x+5" inside:

   (2/3) • f(x+5)

3. tranlate down 2 units means "-2" outside:

      (2/3) • f(x+5) -2

or    (2/3) (x+5)^2 - 2

  or  

there is no grid

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi