Answer:
The correct option is A
Step-by-step explanation:
The standard form of equation of circle is written as:
(x - a)² + (y - b)² = r²
Where centers is given as (a,b)
The equation of the circle given in the question is:
x² + y² = 7
If the circle is translated T(-8,4), it means that the centre of translated circle lies at (-8,4).
So standard form of equation of circle is:
(x + 8)² + (y - 4)² = 7
Simplifying the equation:
(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7
x² + 64 + 16x + y² + 16 - 8y = 7
x² + y² + 16x - 8y + 80 = 7
x² + y² + 16x - 8y + 80 - 7 = 0
x² + y² + 16x - 8y + 73 = 0
which is the general form of the equation of circle
