How do you write the equation of the circle with d=12 and a center translated 18 units left and 7 units down from the origin?

1 Answer
Apr 21, 2016

Answer:

#(x + 18)^2 + (y + 7)^2 = 144#

Explanation:

Under a translation of #((-18),(-7))#

the origin (0 , 0) → (0-18 , 0-7) → (-18 , -7)

The standard form of the equation of a circle is.

#color(red)(|bar(ul(color(white)(a/a)color(black)( (x - a)^2 + (y - b)^2 = r^2)color(white)(a/a)|)))#
where (a , b) are the coordinates of the centre and r, the radius

here a = -18 , b = -7 and r = 12

#rArr (x + 18)^2 + (y + 7)^2 = 144" is the equation " #