Question

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

Answer 1

Answer:

See attachment for graph

Step-by-step 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