Question

If you shift the linear parent function, F(x) = x, down 6 units,

Answer 1

Answer:

D. $G(x)=x-6$

Step-by-step explanation:

Given:

Parent function:

$F(x)=x$

The function is translated 6 units downwards to form new function $G(x)$.

Translation rules for vertical shift.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

For the given translation 6 units downwards would mean $c=-6$

Thus the transformation statement can be given as:

$F(x)\rightarrow F(x)-6$ [6 units downwards]

∴ $G(x)=F(x)-6$

Substituting value of $F(x)$.

∴ $G(x)=x-6$ (Answer)