Answer:
Option A
Step-by-step explanation:
The parent function [tex]y=x^2[/tex] has a minimum [tex](0,0)[/tex].
If we map [tex]x\mapsto x-1[/tex] we get [tex]y=(x-1)^2[/tex]. This is a horizontally translated copy of the parent function, so the minimum is still 0.
Then if we map [tex]f(x)\mapsto f(x)-4[/tex] we have [tex]y=(x-1)^2-4[/tex]
This is a vertical translation 4 units down, so now the minimum is -4, which appears in the equation.
