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docker41 [41]
3 years ago
9

Three lightship flash simultaneously at 6 00 a.m the first lightship flashes every 12 sec the second lightship every 30 sec and

the third lightship every 66 sec
At what time will the three lightship next flshes together
Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
They will all flash their lights together at 5:00 pm
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The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

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Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

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shrunk by multiplying each of its y-coordinates by k

2. The reflection

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3. Vertical translation

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is g(x) = f(x) + m

If the function f(x) translated vertically down  by m units, then its image

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Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of \frac{1}{2}

∴ The image of f(x) = \frac{1}{2} x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

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∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = \frac{1}{2} (-x)² - 1

<em>V.I.Note:</em>

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

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