write an equation for the translation of x^2+y^2=25 by 7 units left and 2 units down
PLEASE HELP
To translate the equation of the circle x^2 + y^2 = 25 by 7 units left and 2 units down, we simply replace x with (x+7) and y with (y+2) in the equation, respectively. Here is the translated equation:
(x+7)^2 + (y+2)^2 = 25
The original equation is x^2+y^2=25
To translate 7 units left, we need to subtract 7 from the x-coordinate:
(x-7)^2 + y^2 = 25
To translate 2 units down, we need to subtract 2 from the y-coordinate:
(x-7)^2 + (y-2)^2 = 25
Therefore, the equation for the translation of x^2+y^2=25 by 7 units left and 2 units down is (x-7)^2 + (y-2)^2 = 25.