How do you graph #(x – 3)^2 + (y + 4)^2 = 25#?
1 Answer
Apr 15, 2016
circle : centre(3,-4), r = 5
Explanation:
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 centre and r , the radius.
the equation :
# (x - 3)^2 + (y + 4)^2 = 25" is in this form " # By comparison with the standard : a = 3 , b = -4 and r = 5
thus : circle , centre (3 , -4) and radius of 5.
