Question

Which function represents a horizontal shift of ƒ(x) = 5x by 4 units to the right?

g(x) = 5x + 4

g(x) = 5(x - 4)

g(x) = 5x - 4

g(x) = 9x

Answer 1

Explanation:

5X-4

THIS IS A SHIFT TO THE RIGHT.

Answer 2

Option B is correct

`g(x) = 5^(x-4)`

Explanation:

Horizontal shift:

The parent function y = f(x), then the transformation y = f(x+h) is horizontal shift either right or left.

If h < 0, then the shift is right by h units

if h >0 then, the shift is left by h units.

As per the statement:

A horizontal shift of ƒ(x) = 5^x by 4 units to the right.

By definition we have;

g(x) = f(x-4)

then;

`g(x) = 5^(x-4)`

Therefore, the function represents a horizontal shift of ƒ(x) = 5^x by 4 units to the right is,
`g(x) = 5^(x-4)`