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Elza [17]
3 years ago
11

The vertex of the graph of y = (x - 1)2 - 5 is

Mathematics
2 answers:
kifflom [539]3 years ago
7 0

The vertex of the graph of y = (x - 1)2 - 5 is (1,-5)

Igoryamba3 years ago
3 0

Answer:

The vertex of the graph of y = (x - 1)2 - 5 is

(1, -5)

The vertex of the graph of y = -4 (x + 3)2 + 2 is

(-3, 2)

Step-by-step explanation:

on edg.. Good Luck!!!

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Design a sine function with the given properties:
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Answer:

f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

where, |A| is altitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

Altitude is

A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3

D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13

The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

8 0
3 years ago
How many terms do you have in the expression 7x - 2y + 8?
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A
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