Question

The equation of a circle is (x – 3)2 +(+8)2 = 36. Relative to the standard equation of a circle (zº+y? = r?), how has

Answer 1

Answer:

A. The circle has been shifted 3 units to the right and 8 units down, r=6

Step-by-step explanation:

Recall that the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius.

Given that the equation is $(x-3)^2+(y+8)^2=36$, this tells us that the center of the circle is at $(h,k)\rightarrow(3,-8)$ and the radius is $r=6$. Since the value of $h$ represents the amount of horizontal shift from the origin and $k$ represents the amount of vertical shift from the origin, then the circle was shifted 3 units to the right and 8 units down.