Question

Write a function g whose graph represents the indicated transformation of the graph of f F(x)=4-|x+1|

Answer 1

The function g from the indicated transformation of the graph of f is g(x) = 4 - |x  - 2|

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The equation of the function f is given as :

F(x) = 4-|x+1|

Shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

So the function g(x) is 3 units to the right of the function f(x)

⇒ g(x) = f(x - 3)

So, F(x - 3) = 4 - |x - 3+ 1|

Evaluate both equations,

⇒ F(x - 3) = 4 - |x  - 2|

⇒ g(x) = 4 - |x  - 2|

Hence, the function g from the indicated transformation of the graph of f is g(x) = 4 - |x - 2|

Learn more about the function here:

brainly.com/question/12431044

#SPJ1