Which of the following statements best describes the graph of 3x − 2y = 4? a.)it is a straight line joining the points (6, 2), (5, 1), and (7, 3). b.) it is a straight line joining the points (0, −2), (2, 1), and (−2, −5). c.) it is a curve joining the points (3, −2), (2, 3), and (4, 1). d.) it is a curve joining the points (0, 2), (−2, −1), and (4, 1).

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: