Skylynn11
Skylynn11 Skylynn11
  • 21-02-2022
  • Mathematics
contestada

Help asap.
Find an equation for g(x) in terms of the function f(x). For example, g(x)=10 f(9x+8)+7.
g(x)=

Help asap Find an equation for gx in terms of the function fx For example gx10 f9x87 gx class=

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sqdancefan
sqdancefan sqdancefan
  • 22-02-2022

Answer:

  g(x) = 3f(-x/2)

Step-by-step explanation:

g(x) is 3 times the height of f(x), and 2 times its width. It is also reflected over the y-axis.

The relevant transformations are ...

  g(x) = k·f(x) . . . . scales f(x) vertically by a factor of k

  g(x) = f(-x) . . . . . reflects f(x) over the y-axis

  g(x) = f(x/k) . . . . scales f(x) horizontally by a factor of k

__

The three transformations we described at the beginning mean that g(x) is ...

  g(x) = 3f(-x/2)

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