Find an equation of the circle with center at (-9,2) and passing through (2,-2) in the form of (x-a)^2+(y-b)^2=c where a, b,c are constant.

The center going through (-9,2) gives you A and B
(x - - 9)^2 + (y - 2)^2 = r^2
(x + 9)^2 + (y - 2)^2 = r^2

Going from the center to the given point gives you the radius. We need the r^2 which is the way the distance formula works: it will give you r^2. c = r^2

d^2 = (x2 - x1)^2 + (y2 - y1)^2
x2 = -9
x1 = 2
y2 = 2
y1 = -2
r^2 = (-9 - 2)^2 + (2 - - 2)^2
r^2 = (- 11 ) ^2 + (4)^2
r^2 = 121 + 16
r^2 o= 137
So we get
(x + 9)^2 + (y - 2)^2 = 137

The distance from point a to point c across the coordinate plane is aproxamatly 8.94 rounded to the nearest hundredth. you use a^2 + b^2 =c^2

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.