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DanielleElmas [232]
3 years ago
13

3

Mathematics
1 answer:
Brut [27]3 years ago
8 0

Answer:

hygu

Step-by-step explanation:

yg9k

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Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
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I forget how to turn fractions into percent
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A translation 2 units to the right and 10 units up. Then a reflection over the line AC
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80 is the correct answer
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Use a table to find the solution of 2t-1=11
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The length of a rectangle is 2 units shorter than one-fifth of the width, x.
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so perimeter = 2(1/5w-2) +2w

= 2/5w-4 +2w

=12/5w-4


without seeing your choices it should be similar to this

7 0
3 years ago
Read 2 more answers
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