Answer:
g(x) is a translation of f(x) by 5 units right and 1 unit up.
Step-by-step explanation:
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function:
f(x) = x²
Translated 5 units right:
f(x - 5) = (x - 5)²
Then translated 1 unit up:
f(x - 5) + 1 = (x - 5)² + 1
Therefore, g(x) is a translation of f(x) by 5 units right and 1 unit up.
Learn more about translations here:
https://brainly.com/question/27845947
