Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex](x- 1)^2 + (y + 4)^2= 25[/tex]
Required
Graph the circle
First, we express the equation as:
[tex](x- h)^2 + (y -k)^2= r^2[/tex]
Where:
[tex]Center = (h,k)[/tex]
[tex]Radius = r[/tex]
So, we have:
[tex](x- 1)^2 + (y + 4)^2= 25[/tex]
[tex](x- 1)^2 + (y - (-4))^2= 5^2[/tex]
Compare the above to: [tex](x- h)^2 + (y -k)^2= r^2[/tex]
[tex](h,k) = (1,-4)[/tex]
[tex]r = 5[/tex]
So, the center and the radius will be plotted.
See attachment for graph
