Following are the calculation to the g(x) function:
Given:
f(x)=-4x+3
g(x)=f(x) after a horizontal translation 2 units
To find:
g(x)=?
Solution:
A horizontal translation, in short, implies f("x + some number"), its value is now 2, and this is to the left, so f(x + 2)
\(\to \bold{\left \{ {{f(x)=-4x+3} \atop {g(x)=f(x+2)}} \right} \\\\\\\to \bold{f(x+2)}=-4(x+2)+3}\)
\(\bold{= -4x-8+3}\\\\ \bold{=-4x-5}\\\\\)
\(\therefore \\\\\to \bold{g(x)= -4x-5} = \bold{-(4x+5)}\)
Therefore, the final answer is "\(\bold{-(4x+5)}\)"
Learn more:
brainly.com/question/24226920
