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!

Answer 2

Answer:

When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.

Step-by-step explanation:

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