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Sveta_85 [38]
3 years ago
10

In the function y-1 = (4x)² + 7, what effect does the number 4 have on

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer:

D. It shrinks the graph horizontally to 1/4 the original width.

Step-by-step explanation:

f(px): |p|>1 horizontal compression   (x,y) -> (x/p , y)

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Answer:

y = -\frac{3}{4} sin(\frac{2}{3}x)

Step-by-step explanation:

First determine whether it is a sine function or a cosine function. Since

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The general equation of a sine function is a sinbx

where a is the amplitude. The amplitude is one-half the difference between the lowest and highest values in the graph.From the graph we can see that the highest value is 3/4 and lowest is -3/4 so the amplitude = 1/2 (3/4 + 3/4) = 3/4

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This gives b = 2/3

So a = -3/4, b = 2/3 and the equation is y = -\frac{3}{4} sin(\frac{2}{3}x)

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