URGENT The equation
Y=-1/3x+4
represents EF. Which of the
following equations and accompanying justifications correctly
represent a line that is parallel to EF?
Graph of line EF
CHOICES

A. y=-2/4x+4; the y intercepts are equal
B. y= -1/3x+51/3; the slopes are equal
C. y= 1/3x-8; the slopes are opposites
D. y= 3x-5; the slopes are opposite reciprocals

answer is b

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: