3 years ago

How to solve this I am not the best at math

1 answer:

5 0

Try it is a great site that you can plug problems in to for the answers! I hope this is helpful!!

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Leviafan [203]

Answer:

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

Step-by-step explanation:

Let be $f(x)$ and $g(x)$ continuous functions in x. In this case, the stretch factor consist on multiplying $f(x)$ by a scalar factor, so that:

$g(x) = k \cdot f(x)$ , $\forall\, k\in \mathbb{R}, k \neq 0$

The stretch factor is:

$k = \frac{g(x)}{f(x)}$ , $\forall\, x \in \mathbb{R}$

If $f(-3) = -5$ and $g(-3) = -10$ , then:

$k = \frac{g(-3)}{f(-3)}$

$k = \frac{-10}{-5}$

$k = 2$

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

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