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

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carlosego carlosego · Answer 1 · 2019-02-27T21:33:40+01:00

Answer:

B.) [tex]y = 3(x - 4)[/tex]

Step-by-step explanation:

In this case we have the equation:

[tex]y = 3x[/tex]

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

[tex]y = f(x-4)[/tex]

Then the function remains as:

[tex]y = 3(x-4)[/tex]

Therefore the correct option is Option B.

B.) [tex]y = 3(x - 4)[/tex]

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zainebamir540 zainebamir540 · Answer 2 · 2019-03-01T15:28:54+01:00

Answer:

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

Step-by-step 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.