Rectangle DEFG is dilated with the origin as the center of dilation using the rule (x, y) --> (3,5x, 3.5y) to create rectangle D'EFGʻ. Which statement is true? Rectangle D'EFG' is smaller than rectangle DEFG, because the scale factor is less than 1.
Rectangle D'EFG' is smaller than rectangle DEFG, because the scale factor is greater than 1.
Rectangle D'E'FG' is larger than rectangle DEFG, because the scale factor is greater than 1.
Rectangle D'EFG' is larger than rectangle DEFG, because the scale factor is less than 1.

We conclude that ''rectangle D'E'F'G' is larger than rectangle DEFG because the scale factor is greater than 1''.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, the shape of the original size does not change, but the size of the original object tends to change depending upon the value of a scale factor.

For example,

Given that Rectangle DEFG is dilated with the origin as the center of the dilation using the rule (x,y) --> (3.5x, 3.5y) to create rectangle D'E'F'G'.

Given the scale factor = 3.5

As the scale factor > 1

Thus, the rectangle D'E'F'G' is larger than the rectangle DEFG.

Therefore, we conclude that ''rectangle D'E'F'G' is larger than rectangle DEFG because the scale factor is greater than 1''.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.

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: