Answer:
The new function is
, where x ≠ 5
Step-by-step explanation:
The reciprocal parent function is
, where x ≠ 0
The translation of f(x) to the right h units is f(x - h)
The translation of f(x) up k units is f(x) + k
The translation of f(x) to the right h units and up k units is f(x - h) + k
∵ The equation of the reciprocal parent function is ![y=\frac{1}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7Bx%7D)
∵ The function is translated 5 units right
∴ h = 5
- That means 5 is subtracted from x ⇒ (x - 5)
∵ The function is translated 3 units up
∴ k = 3
- That means y added by 3
∴ ![y=\frac{1}{x-5}+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7Bx-5%7D%2B3)
The new function is
, where x ≠ 5