The figure shows a pair of parallel line segments on a coordinate grid: a coordinate plane is shown. line segment gh runs from -1 comma negative 1 to 3 comma negative 1. line segment ef runs from negative 1 comma -2 to 3 comma negative 2. the line segments are translated 2 units to the right to form e'f' and g'h'. which statement describes e'f' and g'h'?

line segments e'f' and g'h' do not intersect and are closer together than ef and gh.
line segments e'f' and g'h' intersect at (−2, 0) and are two times farther apart than ef and gh.
line segments e'f' and g'h' intersect at (0, −2) and are two times closer together than ef and gh.
line segments e'f' and g'h' do not intersect and are the same distance apart as ef and gh.

step-by-step explanation:

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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: