Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?
7X) = (x + 3)2 + 3
*X) = (x + 3)2 - 6
ROX) = (x+6)2 +3
7x) = (x + 6)2 - 6

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: