Question

If you shift the linear parent function, f(x) = x, to the left 8 units, what is the equation of the new function?

Answer 1

Step-by-step explanation

To shift a function f(x) to the left in a units (where a > 0), we apply the following transformation:

`f(x)\rightarrow g(x)=f(x+a).`

In this case, we have:

• a shift to left in a = 8 units,

,

• the parent function f(x) = x.

Applying the transformation from above, we get:

`f(x)=x\rightarrow g(x)=f(x+8)=x+8.`Answer

D. g(x) = x + 8