Question

Write the standard equation of the circle in the graph. (Make sure to simplify your symbols, for instance no - - 8, change it to + 8)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The standard equation of a circle is:

(x - h)^2 + (y - k)^2 = r^2

Looking at the graph, we can determine that the center of the circle is at (-2, 4) and the radius is 5 units.

Plugging these values into the standard equation, we get:

(x + 2)^2 + (y - 4)^2 = 5^2

Simplifying the equation, we get:

(x + 2)^2 + (y - 4)^2 = 25

Therefore, the standard equation of the circle in the graph is:
(x + 2)^2 + (y - 4)^2 = 25