Question

Write a function g whose graph represents the indicated transformation of the graph of f.

The equation f(x)=x−5 translated 4 units to the left is g(x)=

Answer 1

g(x) = x - 1

Explanation:

If a function is transformed by shifting k units to the left then the new function will be,

g(x) = f(x + k)

Therefore, from the question,

If a function 'f' is translated by 4 units to the left, image of the transformed function will be,

g(x) = f(x + 4)

g(x) = (x - 5) + 4

g(x) = x - 1

Therefore, g(x) = x - 1 will be the answer.