Question

lesson 4 homework (x + 3)^2+(y - 4)^2 = 1 to graph the circle, drag the center point to the desired location, and then drag the radius point until the radius is the desired number of units. provide your answer below.

Explanation:

Step1: Identify the circle - equation form

The standard form of a circle equation is $(x - a)^2+(y - b)^2=r^2$, where $(a,b)$ is the center and $r$ is the radius. For the equation $(x + 3)^2+(y - 4)^2=1$, we can rewrite it as $(x-(-3))^2+(y - 4)^2=1^2$.

Step2: Determine the center

Comparing with the standard form, the center of the circle $(a,b)$ is $(-3,4)$.

Step3: Determine the radius

Since $r^2 = 1$, then $r = 1$.

Answer:

The center of the circle is $(-3,4)$ and the radius is $1$. To graph it accurately, place the center at the point $(-3,4)$ on the coordinate - plane and draw a circle with a radius of 1 unit around it.