Ijust need an explanation on why i was wrong and why the correct answer is correct

C The graph of f(x) is stretched vertically.

Step-by-step explanation:

k is the constant and is most likely to be a WHOLE NUMBER, so you would pick this answer choice, so long as it is a vertical stretch. If it told you that k were a FRACTION, then you will have a vertical shrink, where it stretches horizontally.

I am joyous to assist you anytime.

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

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: