The tables below contain integers, fractions or mixed numbers. Select all tables whose ratios of ordered pairs represent a proportional relationship between x and y.
6
0
3
9
Х
9
Х
0
15
لیا
A.
B.
у
0
2
4
6
6
у
o
2
+
4
6
х
0
2
4.
6
х
O
4
8
12
C.
D.
d
у
0
3
3
3
3
4
2.
у
0
mico
3
8
3
1
8
4

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:

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