1/2 ons
Question 5
1 pts
ve
Given the function f(x)=2(x-3)2+2, write the new function g after a vertical stretch by a factor
of 3, followed by a translation down 6.
g(x) = 6(x – 3)² - 4
g(x) = 6(x +9² +6
g(x) = 6(x - 3)² +0
g(x)=3(x - 3)² - 4

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: