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Studentka2010 [4]
3 years ago
11

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36X?

Mathematics
2 answers:
ser-zykov [4K]3 years ago
8 0

Answer: C. The graph of f(x)= x2 is shifted down 36 units

Step-by-step explanation:

Fiesta28 [93]3 years ago
5 0
Assuming I understand your question correctly, in that you’re looking for just some descriptions of the differences between the functions. If so, then I’d say:

First graph both functions, the f(x) and the g(x). Then spot the differences.
Note that the g(x) function has shifted towards the right compared with the f(x) function.
Another way that the g(x) differs from the f(x) function is that it’s stretched. The vertex is in the IV quadrant for g(x) rather than at the origin for f(x).

I hope that helps.

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An equilateral triangle has a perimeter of 48 cm. What is the area?
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Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

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we have

P=48\ cm

substitute

48=3b

solve for b

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Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

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A=64\sqrt{3}\ cm^2

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