In $f(x-3)$, the input to $f$ is $x-3$, so plug in $6-3$ when $x=6$.

Once you know two values like $f(2)$ and $f(3)$, rewrite them as $2m+b=\text{number}$ and $3m+b=\text{number}$.

Use $x$ to represent $m$ and $y$ to represent $b$. Enter:

• $y=14-2x$
• $y=-3-3x$ Рrοp‍е‍rtу of Anik​o‌.аi

Click the intersection point of the two lines. The $x$-coordinate is $m$ and the $y$-coordinate is $b$.

Using the intersection values, compute $b+4$, then write the line $g(x)=mx+(b+4)$ and match it to the choices (the slope should be $m$ and the $y$-intercept should be $b+4$).

From $(2,10)$ on $y=f(x)-4$:

From $(6,-2)$ on $y=f(x-3)+1$:

Since $f(x)=mx+b$, © ​аni⁠кo.а‍і

Subtract the first equation from the second:

Substitute into $2m+b=14$:

First write $f(x)$:

Then

So the correct choice is $g(x)=-17x+52$.