Question

The graph of the function$f\left(x\right)=x^3+1$ after translation $4$ units to the right and $2$ units up, resulted in a new graph $l\left(x\right)$. What is the value of $l\left(3.7\right)$?

• A. $0.973$
• B. $1.784$
• C. $1.973$
• D. $2.027$
• E. $2.973$

Answer 1

The correct option is E $2.973$

Given, $f\left(x\right)=x^3+1$

After translating by $4$ to right and and $2$ units up, we get
$\therefore f\left(x\right)={(x-4)}^3+1+2={(x-4)}^3+3$
$\therefore f\left(3.7\right)={(3.7-4)}^3+3=-0.027+3=2.973$