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Match each graph of f and it’s transformation g

Match Each Graph Of F And Its Transformation G class=

Sagot :

MrRoyal

Function transformation involves changing the form of a function.

The graphs of f and their transformations g are:

  • Graph 1: f(x) = 2^x, g(x) = f(x) + k where k = 2
  • Graph 2: f(x) = 2^x, g(x) = f(x + k) where k = -2
  • Graph 3: f(x) = 0.5^x, g(x) = f(x) + k where k = 2
  • Graph 4: f(x) = 0.5^x, g(x) = f(x + k) where k = -2

How to determine the graphs and their transformation

From the graphs, the graphs of f(x) that represent [tex]f(x) = 2^x[/tex] are graph 1 and graph 2.

In graph 1, function f(x) is shifted up by 2 units to form g(x), while f(x) is shifted right by 2 units to form g(x) in graph 2

So, the equations of graphs 1 and 2 are:

  • Graph 1: f(x) = 2^x, g(x) = f(x) + k where k = 2
  • Graph 2: f(x) = 2^x, g(x) = f(x + k) where k = -2

Similarly, the graphs 3 and 4 represent [tex]f(x) = 0.5^x[/tex] for f(x)

In graph 3, function f(x) is shifted up by 2 units to get g(x), while f(x) is shifted right by 2 units to form g(x) in graph 4

So, the equations of graphs 3 and 4 are:

  • Graph 3: f(x) = 0.5^x, g(x) = f(x) + k where k = 2
  • Graph 4: f(x) = 0.5^x, g(x) = f(x + k) where k = -2

Read more about function transformation at:

https://brainly.com/question/1548871

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