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NeX [460]
3 years ago
8

If g(x)=a x f(x+b) how is f(x) transformed to get g(x)

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

Answer:

a: -2f(x+4)

Step-by-step explanation:

Took the quiz, got 100%.

guajiro [1.7K]3 years ago
4 0

Answer:

Ok, we know that g(x) = a*f(x + b), we want to find all the transformations that we must apply to f(x) to construct g(x).

Let's assume at the beggining that T2(T1(f(x))) = g(x), and start appliying the transformations.

First, we have a horizontal shift.

If we want to move the graph A (A positive) units to the right, we should have:

g(x) = f(x - A)

in this case we have

g(x) = f(x + b) = f(x - (-b))

So we have a shift of -b units to the right, or b units to the left.

Second:

We have a vertical contraction/dilation.

if we have a function f(x), a compression/dilation of scale factor A is written as:

g(x) = A*f(x)

if A > 1, we have a dilation.

if 0 < A < 1, we have a contraction.

In this case the scale factor is a.

g(x) = a*f(x).

Now, applying both transformations we have:

> shift of b units to the left.

> contraction/dilation of scale factor a.

g(x) = a*f(x +b)

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Answer:

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Step-by-step explanation:

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In order to solve using elimination, we need to be able to get rid of one variable, so that we can solve for the other. We need to subtract these two equations given from one another, or multiply the bottom equation by a negative and add them together.

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Now that we know the value of one variable, we can take that value and plug it back into one of the original equations and solve for the value of the other variable.

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Hope this helps!! :)

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Step-by-step explanation:

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