Question

If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

Answer 1

Answer:

f(x)=x-6

Step-by-step explanation:

Given : Parent function : $f(x)=x$

To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

Solution:

Parent function : $f(x)=x$

Shift the given function down by 6 units.

Rule : The graph f(x) shifts down by b units

So, f(x)→f(x)-b

So, Shift the given function down by 6 units.

So, f(x)→f(x)-6

f(x)=x

So, x→x-6

So, the new function is f(x)=x-6