Problema Solution

Graph the following equation and state the center, radius, and x- and y-intercepts, if they exist. Please show all of your work. Submit your graph to the Dropbox.

x^2+(y+4)^2=81

Answer provided by our tutors

x^2+(y+4)^2=81

It is the equation of  a cirle.

center is (0,-4). 

Radius =9.

x- intercepts are given by putting y=0.

x^2+4^2=81.

x^2=65.

x=8.1,-8.1

x intercept are (8.1,0),(-8.1,0).

y- intercepts are given by putting x=0.

(y+4)^2=81.

y+4=+9.-9.

y=5,-13.

y- intercept are (0,5),(0,-13).