Question

If you shift the linear parent function, f(x) = x,
down 7 units, what is the equation of the new function?
0 8(x) =17x
• g(x) = x + 7
• g(x) = x - 7
0 g(x) = 7x

Answer 1

To shift the linear parent function \( f(x) = x \) down by 7 units, you need to subtract 7 from the function.

So, the new function \( g(x) \) is:

\[
g(x) = x - 7
\]

Thus, the correct answer is:

**g(x) = x - 7**.