Let f(x) = |x|, where x can be any real number. write a formula for the function whose graph is the
transformation of the graph of f given by the instructions below.
c. a vertical scaling (a vertical stretch) with scale factor of 5

y = 5f(x)

Please see the picture below

Step-by-step explanation:

Given the function f(x) = |x|, to transform the function y=f(x) with a vertical scaling with scale factor of 5, you should multiply the function by 5 to obtain the result;

y = 5f(x)

Please see the picture below to see a graphic solution.

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:

the answer is. -82562234434584

step-by-step explanation: