Question

Function F was transformed by using f(bx) as shown below. Find the value of b

Answer 1

The graph of the transformation of f(x) to f(b·x), where f(1) in f(b·x) is equal to f(5) in f(x) indicates that the value of b is 5

What is the transformation of a function?

The transformation of a function is represented by a function that changes one function into another function, such that the size, or position of the graph of the original function is modified

The given transformation of the function f is f(b·x)

A formula for the transformation of a function y = f(x) is the function;

y = a·f(b(x + c)) + d

Where;

The a indicates a vertical translation of the function

b indicates an horizontal dilation of f

c stands for a horizontal translation

d stands for a vertical translation

The translation in the question is f(b·x), which is a horizontal dilation, is expressed as follows;

When b > 1, the graph of f(x) shrinks horizontally

When 0 < b < 1, the graph of f(x) is stretched

At x = 1, f(x) = 1, and f(b·x) = 5

The graph of f(x) shrinks to obtain the graph of f(b·x), such that the value obtained at f(5) in f(x) is obtained at f(1) in f(b·x)

f(5) = f(b·1)

b×1 = 5

b = 5 ÷ 1 = 5

The value of b is 5

Learn more about transformation of functions here:

brainly.com/question/11943912

#SPJ1