Answer:
second option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
A function with zeroes at z1 and z2 can be factored into form
f(x)=a(x-z1)(x-z2)
where a is a constant
so
it is
f(x)=a(x-(-4))(x-2) or
f(x)=a(x+4)(x-2)
The rule (x, y) ⇒ (x-2, y+3) will translate the way you want.
