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Troyanec [42]
2 years ago
6

Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.

Mathematics
1 answer:
pogonyaev2 years ago
3 0

We will see that g(x) is a reflection across the y-axis of f(x), then:

   g(x) = f(-x) = 3^{-x\\

<h3>How to identify the function g(x)?</h3>

By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).

So we can write:

g(x) = f(-x)

Here we know that:

f(x) = 3^x

Then, replacing f(x) on the formula for g(x), we get:

g(x) = f(-x) = 3^{-x\\

That is the function g(x) shown in the figure.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

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To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

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