Match each equation on the left with the appropriate description of its graph on the right.
-$(x-6)^{2}+(y+2)^{2}=25$
A) Circle; center $(6,-2)$; radius 5
B) Hyperbola; center $(6,-2)$
C) Parabola; opens left
D) Circle; center $(-6,2)$; radius 5
E) Parabola; opens downward
F) Ellipse; center $(6,2)$

Question

Quizplus · Accepted Answer

The equation $(x-6)^{2}+(y+2)^{2}=25$ represents a circle with a center at $(6,-2)$ and a radius of $5$, as it is in the standard form $(x-h)^2 + (y-k)^2 = r^2$ for a circle with center $(h,k)$ and radius $r$.

Match Each Equation on the Left with the Appropriate Description (x−6)2+(y+2)2=25(x-6)^{2}+(y+2)^{2}=25(x−6)2+(y+2)2=25

Match Each Equation on the Left with the Appropriate Description $(x-6)^{2}+(y+2)^{2}=25$