Question

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

A. g(x) = 5x + 4
B. g(x) = 5(x - 4)
C. g(x) = 5x - 4
D. g(x) = 9x

Answer 1

Answer: B.
`g(x)=5(x-4)`

Explanation:

When we shift a function h(x) by n units right , the new function will be :-

`d(x)=h(x-n)`

Given : There is a horizontal shift of
`f(x)=5x` by 4 units to the right, then new function will be :-

`g(x)=f(x-4)\\\\\Rightarrow\ g(x)=5(x-4)`

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

Answer 2

B.
`g(x)=5(x-4)`

Explanation:

we are given

`f(x)=5x`

It is shifted right side by 4 units

We know that

Whenever any function is shifted right side by 'a' units

we can replace x as x-a

x----->(x-a)

Here , it is shifted right side by 4 units

so, we can replace x as x-4

we get

`g(x)=f(x-4)`

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