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Amiraneli [1.4K]
3 years ago
5

Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis?

Mathematics
2 answers:
AURORKA [14]3 years ago
7 0

Answer:

B. g(x) = –5(0.8)^x

Step-by-step explanation:

We have the function, f(x) = 5(0.8)^x.

It is required to reflect the function about x-axis.

Now, as we know,

Reflection across x-axis will flip the graph of the function and the function f(x) becomes -f(x).

So, the reflection of f(x) = 5(0.8)^x across x-axis will give the function f(x) = -5(0.8)^x

So, we see that,

Option B i.e. g(x) = -5(0.8)^x is correct.

Vikki [24]3 years ago
6 0

Answer: The correct option is second.

Explanation:

The given function is,

f(x)=5(0.8)^x

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

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

The given given equation can be written as,

y=5(0.8)^x

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

-y=-5(0.8)^x

Because f(x)=y and g(x)=-y.

g(x)=-5(0.8)^x

Therefore the second option is correct and the graph of both function is given below.

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