Pre-Algebra
Graph (x-4)^2+(y+12)^2=17^2(x−4)2+(y+12)2=172(x-4)2+(y+12)2=172Find the properties of the conic section (x−4)2+(y+12)2=172x-42+y+122=172
Move all variables to the left side and all constants to the right side.(x−4)2+(y+12)2=172x-42+y+122=172Raise 1717 to the power of 22 to get 289289.(x−4)2+(y+12)2=289x-42+y+122=289This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=r2x-h2+y-k2=r2Match the values in this circle to those of the standard form. The variable rr represents the radius of the circle, hh represents the x-offset from the origin, and kk represents the y-offset from origin.r=17r=17h=4h=4k=−12k=-12The center of the circle is found at (h,k)h,k.Center: (4,−12)
Center: (4,−12)4,-12Radius: 17