Figure a is the preimage. which figure is the image of figure a after a dilation with a scale factor of 3 and a center of (0, 0)?
a. figure r
b. figure s
c. figure t
d. figure u

The answer is option "D. Figure U"

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: