2. Given the equation of a circle, (x - 5) 2 + (y + 3) 2 = 196, state the coordinates of the center and

the radius.

Center

,

); radius:

centered at (5,-3)

radius of 14 units

Step-by-step explanation:

A linear transformation will be the opposite of what contained in the parentheses ((x-5) ^2 will be a regular line x but + 5 units along the axis.

Therefore the variables contained in the parentheses will then correspond to the transformation, so it will be shifted + 5 units along the x and - 3 units along the y.

The radius is simply the answer square rooted which is 14 units in this case.