Question

find g(x), where g(x) is the translation 2 units left of f(x) = 3x - 10. write your answer in the form mx + b, where m and b are integers. g(x) =

Explanation:

Step1: Recall translation rule

For a function $y = f(x)$, a translation $h$ units to the left gives $y = f(x + h)$. Here $h = 2$ and $f(x)=3x - 10$.

Step2: Substitute $x+2$ into $f(x)$

$g(x)=f(x + 2)=3(x + 2)-10$.

Step3: Expand and simplify

$g(x)=3x+6 - 10=3x - 4$.

Answer:

$3x - 4$