Question

How do the different values of h,k,and r change the graphs of the circles?

Answer 1

Answer:

See Below

Step-by-step explanation:

The standard form of an equation of a circle is:

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

and

(h,k) is the center

r is the radius

Changing the values of h and k changes the location of the center of the circle. Changing the value of r changes the radius and hence the "size" of the circle. Very simple!

So, basically changing h and k translates the circle elsewhere and changing r transforms (make larger or smaller) the circle!