Identify the equation of the translated graph in general form x^2-y^2=9 for T(-4,2)

Question

asked Dec 1, 2020 7.2k views

2 Answers

Jeanine · Answer 1 · 2020-12-07T06:13:34+0000

Answer:

B

Explanation:

The equation
x^2-y^2=a under the translation of T (p,q) will have the form
(x-p)^2-(y-q)^2=a

Now, using the translation T(-4,2) in the equation given, we can write:

$(x+4)^2-(y-2)^2-9=0\\x^2+8x+16-y^2+4y-4-9=0\\x^2-y^2+8x+4y+3=0$

Looking at the choices, B is the right answer.