Question

Consider the graph of a linear function, y = f(x). Assuming c>0, which choice shifts f's graph c units to the right?A)y = f(x) + cB)y = f(x + c)y = f(x) -D)y = f(x - C)

Answer 1

The linear function is

`y=f(x)`

To perform a horizontal translation for a linear function, you have to add/subtract the constant "c" to the x-coordinate:

• If you add the constant, y=f(x+c), the resulting translation will be to the left c units.

,

• If you subtract the constant, y=f(x-c), the resulting translation will be to the right c units.

Considering what is mentioned above, to move the linear function c units to the right, the transformation rule to use is option D. y= f(x-c)