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:
