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chakalarenfroe
05.11.2020 •
Mathematics
Which statement is true of the function f (x) =-3√xSelect three options.
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Ответ:
A. Reflect the graph of the first function across x-axis, translate it
to the left, and translate it 2 units up.
Step-by-step explanation:
We have the original function is
.
The new transformed function is given by
.
So, we can see that the following sequence of transformations have been applied to the original function:
1. The function f(x) is reflected about x-axis i.e. f(x) becomes -f(x), which gives![y=-\tan (x+\frac{\pi}{4})-1](/tpl/images/0010/4694/42fc5.png)
2. This function obtained is translated
units to the left i.e.
i.e. ![y=-\tan (x+\frac{\pi}{2})-1](/tpl/images/0010/4694/fc9ce.png)
3. Finally, this new function is translated 2 units upwards i.e.
i.e. ![y=-\tan (x+\frac{\pi}{2})+1](/tpl/images/0010/4694/a1fb6.png)
Hence, after applying, 'reflection across x-axis, translation of
to the left, and translation of 2 units up', we get the required function.