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4 years ago

Use the function below:

Mathematics

1 answer:

andrew-mc [135]4 years ago

4 0

The given data is
x: 0 π/2 π (3π)/2 2π
y: 2 0 2 4 2

The function that models the data is (see the graph shoen below)
$y=2cos(x+ \frac{ \pi }{2})+2$

The amplitude is 2.
The midline is y = 2
The phase is -π/2.
The period is 2π.

Answer:
Amplitude: 2; Midline: y = 2

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Answer:

Step-by-step explanation:

first, plug in 6 for k. (it doesn't matter which value you plug in first; you can start with j or k, but i'm just starting with k since that is the variable that comes first in the expression)

2k - 2j => 2(6) - 2j

then plug in 4 for j.

2(6) - 2j => 2(6) - 2(4)

now your expression is 2(6) - 2(4). simplify by multiplying 2(6) and then -2(4) (again, it doesn't matter which one you multiply first, as long as you make sure that the minus sign between 2(6) and 2(4) gets attached to the 2 in 2(4).)

2(6) - 2(4) => 12 - 2(4)

12 - 2(4) => 12 - 8

subtract 8 from 12.

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your answer is 4, therefore when j = 4 and k = 6, 2k - 2j = 4.

i hope this helps! have a nice day <3

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