Answer:
The value of [tex]c[/tex] must be 3.
Step-by-step explanation:
Let be [tex]y = f(x)[/tex], there is an horizontal translation when function is transformed into [tex]y = f(x-c)[/tex], where:
[tex]c > 0[/tex] - Shift to the right.
[tex]c < 0[/tex] - Shift to the left.
If [tex]f(x) = x^{2}[/tex] and it is shifted right, then the value of [tex]c[/tex] must be 3.