Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure ACB onto itself? a coordinate plane with figure ACB with point A at 1, 1, C at 3, 4 and B at 5, 1

No, A″C″B″ is located at A″(−1, 1), C″(−3, 4), and B″(−5, 1)
No, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
Yes, A″C″B″ is located at A″(−1, 1), C″(−3, 4), and B″(−5, 1)
Yes, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 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:

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step-by-step explanation: