Question

How do you graph `(x – 3)^2 + (y + 4)^2 = 25`?

Answer 1

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.