Question

Write the standard form of the equation of the circle with the given center and radius.

14. center (-2, 0) and r = 3

Answer 1

Write the standard form of the equation of the circle with the given center and radius.

14. center $(-2,0)$ and $r = 3$

**Solution:**

The standard form equation of a circle is $(x - a)^2 + (y - b)^2 = r^2$ where $a$ and $b$ are the x and y coordinates of the center of the circle, and $r$ is the radius

$$(x - (-2))^2 + (y - 0)^2 = 3^2$$ $$(x + 2)^2 + y^2 = 9$$

**Answer:** $(x + 2)^2 + y^2 = 9$