How is the graph of y = csc(x – 6) transformed from its parent function?

Mathematics

2 answers:

dexar [7]3 years ago

6 0

It is the graph shifted 6 units right

OLga [1]3 years ago

4 0

General Idea:

The function translation / transformation rules are given below:

f (x) + k shifts the function k units upward.

f (x) – k shifts the function k units downward.

f (x + h) shifts the function h units to the left.

f (x – h) shifts the function h units to the right.

–f (x) reflects the function in the x-axis (that is, upside-down).

f (–x) reflects the function in the y-axis (that is, swapping the left and right sides).

Applying the concept:

If y = f(x), then y = csc(x – 6) can be represented as y = f(x-6).

Conclusion:

<em> </em><u><em>It is the graph of y = csc(x) shifted 6 units right.</em></u>

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Explain what the equation 110d = 100d + 40 represents<br>in the context of the example problem.

Tanya [424]

<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

<h2 /><h2>Explanation:</h2>

See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:

Total cost for Oceanview:

$c=100d+40$

Total cost for Beachside:

$c=110d$

Where:

$c:Represents \ the \ cost \\ \\ d:Represents \ the \ number \ of \ day$

So we have to explain what the equation:

$110d=100d+40$

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>

<h2>Learn more:</h2>

Linear equations: brainly.com/question/12412678

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