i need help with this equation 20 points help quick

Answer:
[tex]\boxed{y=|\frac{1}{2}x - \frac{3}{2}|+3}[/tex]
Step-by-step explanation:
The translation is a horizontal translation.
The graph is translated 1 unit to the left. So the value of x is added by 1.
[tex]f(x+1)[/tex]
[tex]y=|\frac{1}{2} (x+1)-2|+3[/tex]
[tex]y=|\frac{1}{2}x + \frac{1}{2} -2|+3[/tex]
[tex]y=|\frac{1}{2}x + - \frac{3}{2}|+3[/tex]