razorbackward01
razorbackward01 razorbackward01
  • 25-02-2021
  • Mathematics
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Given the functions flx) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from leasrto greatest based on their axis of symmetry.

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sqdancefan
sqdancefan sqdancefan
  • 25-02-2021

9514 1404 393

Answer:

  f(x), h(x), g(x)

Step-by-step explanation:

For a quadratic in standard form, ...

  ax² +bx +c

the axis of symmetry is ...

  x = -b/(2a)

For the various functions, the axes of symmetry are ...

  f(x): x = 0/(2·3) = 0

  g(x): x = -(-4)/(2·1) = 2

  h(x): x = (-4)/(2(-2)) = 1

From least to greatest axis of symmetry the functions are ...

  f(x), h(x), g(x)

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