<h2>
Hello!</h2>
The answer is:
A.
<h2>Why?</h2>
To solve the problem, we need to perform the shown operation.
We have the functions:
So, performing the following operation, we have:
Hence, we have that the correct option is:
A.
Have a nice day!
Answer:
24y^3/x^5
Step-by-step explanation:
Since 6x and 4x are not in a parentheses, they are not being powered by anything. Therefore, those stay on the numerator side.
Anything to the power of something times another to the power of something is always added together. Since -1 + (-4) is -5, x would end up having a power of -5, which would just make it go on the denominator side with just a power of 5.
Same rule with y follows. This would make it 5+ (-2) = 3. Since this is a positive power, it stays at the numerator side.
From what I know, figure ABC has gotten smaller so you wouldn't use either options that suggests a dilation of 3, because that would mean it got bigger. (But please correct me if I'm wrong.) Also, if you look at the little unit square measurements on the graph, looking at figure ABC, C is 6 units from B, while in figure A'B'C', C' is 2 units from B', which 6÷2=3 meaning that A'B'C' would most likely be a third of its size.
Next the figure is being mirrored over the y-axis which is the vertical line going up and down.
So the answer would be the option that says
"Dilation by a scale factor of 1 over 3 followed by a reflection about the y-axis"
I hope that it's right, because I haven't practiced this in a while, and I hope this made some sense.