Suppose that f(x) = x3 and g(x) = -2x3 - 7. which statement best compares the graph of g(x) with the graph of f(x)? a. the graph of g(x) is the graph of f(x) compressed vertically, flipped over the x-axis, and shifted 7 units to the right. b. the graph of g(x) is the graph of f(x) compressed vertically, flipped over the x-axis, and shifted 7 units down. c. the graph of g(x) is the graph of f(x) stretched vertically, flipped over the x-axis, and shifted 7 units down. d. the graph of g(x) is the graph of f(x) stretched vertically, flipped over the x-axis, and shifted 7 units to the right.

Reflections:
 A reflection or turning is the mirror image of a figure. It can also be said that it is the turning of points and graphs around the axes.
 To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)
 Resulting:
 -x3
 Expansions and Compressions:
 Expansions and compressions are transformations that change the length or width of the graph of a function. The general form of the graph of a function expands or compresses vertically or horizontally.
 To graph y = a f (x)
 If a> 1, the graph of y = f (x) is expanded vertically by a factor a. 
 Resulting:
 -2x3
 Displacements (Translations)Translations are transformations that change the position of the graph of a function.
 Suppose that k > 0
 To graph y = f (x) - k, move the graph of k units down.
 Resulting:
 G (x) = -2x3 - 7
 
 C. The graph of G (x) is the graph of F (x) stretched vertically, reflected over the x-axis, and shifted 7 units down.

The answer would be 27 because assuming that each package has 1 bar of soap and 1 tube of toothpaste, after 27 packages they would run out of toothpaste