To determine the equation of the circle graphed with the center at (-3, 4) on the coordinate plane, we can use the standard form of the equation for a circle:
1. The standard form of the equation of a circle with center (h, k) and radius r is: (x−h)2+(y−k)2=r2
2. Given the center of the circle is (-3, 4), we substitute the values into the equation: (x+3)2+(y−4)2=r2
3. To find the radius squared (r^2), we can use the distance formula between the center (-3, 4) and a point on the circle, such as (-1, 8): r2=(−1−(−3))2+(8−4)2r2=(2)2+(4)2r2=4+16r2=20
Therefore, the equation of the circle graphed with the center at (-3, 4) is: (x+3)2+(y−4)2=20
Hoped this helped lol
