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Lana71 [14]
3 years ago
6

The function f(x) = x2 is reflected across the x-axis and a stretch factor of 4 is applied to create a second function, g(x). Wh

ich of the following statements about the vertices of f(x) and g(x) is true?
The vertex of g(x) is the same as the vertex of f(x).


The vertex of g(x) is 4 units above the vertex of f(x).


The vertex of g(x) is 4 units to the left of the vertex of f(x).


The vertex of g(x) is 4 units below the vertex of f(x).


The vertex of g(x) is 4 units to the right of the vertex of f(x).
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0
Well, if we see the graph of x^2
the vertex is (0,0)
if we reflect it acrosss the x axis, teh vertex is still (0,0)
verteical strech doesn't change the vertex

vertex of g(x) is same as f(x)

first answer
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can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c
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Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be 3:4.

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are \overline{RS} and \overline{AB}.

The ratio of \overline{RS}:\overline{AB} is 18:24\implies \boxed{3:4}.

The reason why it ideally should be 3:4 and not 4:3 is because the question states RTSU\sim ABCD, which mentions RSTU first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

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