Answered

Find the best solutions to your problems with the help of IDNLearn.com's experts. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

Match each graph of f and it’s transformation g

Match Each Graph Of F And Its Transformation G class=

Sagot :

MrRoyalidn

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

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.