Match each pair of functions to the phrase that best describes the difference between f(x) and g(x). 100 points

See the attachment

A vertical shift adds a constant to the function value. f(x) ⇒ f(x)+5 is a vertical shift up 5 units.

A horizontal shift subtracts a constant from the independent variable value. f(x) ⇒ f(x-5) is a shift right 5 units.

A multiplying factor of magnitude greater than 1 is a vertical expansion; less than 1 represents a vertical compression. f(x) ⇒ -5f(x) is a vertical expansion (and reflection over the x-axis). f(x) ⇒ (1/2)f(x) is a vertical compression.

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Comment on the vertical compression

You have the function f(x) = x² +2 being transformed to g(x) = (1/2)x² +2. If this were a straight vertical compression, the function g(x) would look like ...

... g(x) = (1/2)(x² +2) = (1/2)x² +1

The fact that the constant has remained +2, instead of being enclosed in parentheses or changing to +1, means that the graph has been compressed vertically around the point (0, 2), not the origin.

the workers who do no drive has no reasonable reason to buy gasoline due to they don't have anything to use it for

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.