Write the equation of the circle with the given center and radius.

#1. center: (0,2) ; radius: 5

#2. center: (-4,-5) ; radius: square root ✔️2

#3. center: (-1,3) ; radius: 8

#4. center: (9,0) ; radius: ✔️3

Step-by-step explanation:

The standard equation of a circle is

Center = (h, k)

#1

Center = (0,2)

h = 0

k = 2

r = 5

#2

Center = (-4,-5)

h = -4

k = -5

r =

#3

Center =(-1,3)

h = -1

k = 3

r = 8

#4

Center: (9,0)

h = 9

k = 0

r =

A nonlinear function that can be written on the standard form

is called a quadratic function.

All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is