Answer:
C. f(x) = (x - 3)² + 4
Step-by-step explanation:
Given parent function:
[tex]f(x)=x^2[/tex]
When a graph is translated "a" units right, subtract "a" from the x-value of the function.
Therefore, the translation of the parent function 3 units right is:
[tex]\implies f(x-3)=(x-3)^2[/tex]
When a graph is translated "a" units up, add "a" to the function.
Therefore, the translation of the function 4 units up is:
[tex]\implies f(x-3)+4=(x-3)^2+4[/tex]
