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atroni [7]
3 years ago
10

Ricardo lost 6 golf balls while playing yesterday he bought a box of twelve golf balls and lost 4 on the course today he now has

18 golf balls how many golf balls did Ricardo have to begin with
Mathematics
1 answer:
zepelin [54]3 years ago
5 0
<span>Ricardo ended up with 18 golf balls. If he lost 4 on the course today, he then had 22 to start with today. This 22 total includes a box of 12 balls he bought today. This means he had 22 - 12 yesterday, making 10. Yesterday he lost 6 while playing. Ricardo had 16 balls to start with.</span>
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F(x) = x^2. What is g(x)
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Step-by-step explanation:

Let us revise the reflection and translation of a function

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  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
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f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

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→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

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