Question

The graph of y = 3 x is shifted 4 units to the right. What is the equation of the new graph?

A.) y = 3 (x + 4)
B.) y = 3 (x - 4)
C.) y = 3x + 4

Answer 1

Choice B is correct. y = 3( x-4) is the required equation.

Explanation:

We have given a equation:

y= 3x

We have to find the equation of line when the graph of the above equation is shifted 4 units to the right.

We use the formula to find the equation :

y = f(x-4)

putting x = x-4 in the given equation we get our desired equation:

y = 3( x-4)

y = 3( x-4) is the equation of line when the graph of the above equation

is shifted 4 units to the right.

Answer 2

B.)
`y = 3(x - 4)`

Explanation:

In this case we have the equation:

`y = 3x`

To move a function 4 units to the right we must perform the following operation:

`y = f(x-4)`

Then the function remains as:

`y = 3(x-4)`

Therefore the correct option is Option B.

B.)
`y = 3(x - 4)`