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adoni [48]
3 years ago
6

Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?

Mathematics
2 answers:
NemiM [27]3 years ago
9 0

<u>Given:</u>

The given function is f(x)=\frac{3}{7}(2)^{x}

We need to determine the reflection of f(x) over the x - axis

<u>Reflection over x - axis:</u>

The translation rule to reflect over the x - axis is given by

(x, y) \rightarrow(x,-y)

Reflecting the function over the x - axis, we get;

-y=\frac{3}{7}(2)^{x}

Multiplying -1 to both sides of the equation, we have;

y=-\frac{3}{7}(2)^{x}

This can be written as

g(x)=-\frac{3}{7}(2)^{x}

Hence, the reflection of the function over the x - axis is g(x)=-\frac{3}{7}(2)^{x}

Thus, Option A is the correct answer.

Gekata [30.6K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

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