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Artist 52 [7]
3 years ago
9

Which function has the largest amplitude?

Mathematics
1 answer:
frutty [35]3 years ago
4 0
<h3>Answer: Choice A</h3>

The -3 out front of that function means |-3| = 3 is the amplitude, which is the largest of the four functions.

In general, the sine function is

y = A*sin(B(x-C)) + D

where |A| is the amplitude. In the first answer choice, A = -3 so |A| = |-3| = 3.

Cosine has the same format since cosine is just a phase shift of sine.

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Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0
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The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1  (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0
2 years ago
2. Is the expression 2 • 4' equal to the expression 8"? Explain your answer.
liberstina [14]
Yes, this is because 2*4 equals 8
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