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3 years ago

The function f(x)=4x is transfored to g (x) = -8x. what type of transformation has occurred?

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Answer:

It swaps directions and is now negative. It also has a verticle stretch.

Step-by-step explanation:

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A. An angle that measures $\frac{\pi}{6}$ radians also measures $30^o$

C. An angle that measures $180^o$ also measures $\pi$ radians

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Recall the formula to transform radians to degrees and vice-versa:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians$

Therefore we can investigate each of the statements, and find that when we have a $\frac{\pi}{6}$ radians angle, then its degree formula becomes:

$\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o$

also when an angle measures $180^o$ , its radian measure is:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi$

The other relationships are not true as per the conversion formulas

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2 years ago

The function f(x)=4x is transfored to g (x) = -8x. what type of transformation has occurred?​

The function f(x)=4x is transfored to g (x) = -8x. what type of transformation has occurred?