Finding trigonometric ratios: ( ONLY QUESTIONS 10, 12 and 14)

Mathematics

1 answer:

Artyom0805 [142]2 years ago

6 0

Step-by-step explanation:

Sorry that they're sideways, it's the only way brainy would let me send them!!

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Is -3+3-3+3-3+3 a arithmetic?

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Answer:

$- 3 + 3 = 0 - 3 = - 3 \\ - 3 + 3 = 0 - 3 = - 3 \\ - 3 + 3 = 0$

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Answer:

60 degrees per angle.

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Which function represents a vertical stretch of an exponential function?

nika2105 [10]

Answer:

A. $f(x)=3(\frac{1}{2})^x$

Step-by-step explanation:

The options are:

$A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}$

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

$f(x) = a^x$

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If $bf(x)$ and $b>1$ , then the function is stretched vertically by a factor of "b".

2. If $bf(x)$ and $0$ , then the function is compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

$f(x)=3(\frac{1}{2})^x$

Where the factor is:

$b=3$