Question

Graph the circle (x- 1)2 + (y + 4) = 25.

Answer 1

See attachment for graph

Explanation:

Given

`(x- 1)^2 + (y + 4)^2= 25`

Required

Graph the circle

First, we express the equation as:

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

Where:

`Center = (h,k)`

`Radius = r`

So, we have:

`(x- 1)^2 + (y + 4)^2= 25`

`(x- 1)^2 + (y - (-4))^2= 5^2`

Compare the above to:
`(x- h)^2 + (y -k)^2= r^2`

`(h,k) = (1,-4)`

`r = 5`

So, the center and the radius will be plotted.

See attachment for graph