Question

Directions: Graph the following equations and label key points & parts in thespace provided, you may need to extend the graphing space a little as needed.(Conic Sections)3) (x + 3)^2 + y^2 = 25

Answer 1

Given the equation:

`(x+3)^2+y^2=25`

The given equation represents the equation of the circle

The general equation of the circle is:

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

Where r is the radius and the center at the point ( h , k )

So, compare the given equation to the general form, we will get:

`\begin{gathered} r^2=25 \\ r=\sqrt[]{25}=5 \\ \text{Center}=(h,k)=(-3,0) \end{gathered}`

The graph of the given equation is as the following image: