Answer:
B
Step-by-step explanation:
The equation [tex]x^2-y^2=a[/tex] under the translation of T (p,q) will have the form [tex](x-p)^2-(y-q)^2=a[/tex]
Now, using the translation T(-4,2) in the equation given, we can write:
[tex](x+4)^2-(y-2)^2-9=0\\x^2+8x+16-y^2+4y-4-9=0\\x^2-y^2+8x+4y+3=0[/tex]
Looking at the choices, B is the right answer.
