Which expression is equivalent to 2 + 3(x - 6)? A. 5x 30
B. Sx 6
C. 2+ 3x 18
D. 2+ 3x 6

C)  2 + 3 x - 18

Step-by-step explanation:

Explanation:-

Given expression  2+ 3(x-6)

                 ⇒  2 + 3 x - 18

               ⇒    3 x - 16

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: