Question

consider the following equation of a circle.
(x - 1)^2+(y + 2)^2 = 25
step 1 of 3: find the center, (h,k).
answer
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Explanation:

Step1: Recall circle - equation form

The standard form of a circle equation is $(x - h)^2+(y - k)^2=r^2$, where $(h,k)$ is the center of the circle.

Step2: Identify $h$ and $k$ values

For the equation $(x - 1)^2+(y+2)^2 = 25$, we can rewrite $(y + 2)^2$ as $(y-(-2))^2$. Comparing with the standard form, we have $h = 1$ and $k=-2$.

Answer:

$(1,-2)$