The functions f(x) and g(x) are described below. f(x) = 7x + 9

g(x) = 7x - 4

The graph of g(x) is obtained by shifting down the graph of f(x) by units.

13 units

Step-by-step explanation:

Because the c term (9 for f(x)) represents the y intercept. The y only moves the graph up or down. Since we are trying to get from 9 to -4 move down by 13 units.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

0.32

step-by-step explanation:

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