What happens to the graph of the equation (x − h)2 + (y − k)2 = r2 when the value of r is increased?

Question

anonymous · Answer

Since r has an exponent, it will increase the graph much more.

whpalmer4 · Answer

Do you know what $(x-h)^2 + (y-k)^2 = r^2$ describes?  Is it a square, a triangle, a hyperbola, parabola, ellipse, circle, ???

anonymous · Answer

its a circle

whpalmer4 · Answer

Okay.  A circle is the set of points an equal distance from the center point, right?  If you had to take a wild-retriceguess, seeing x and y on the left side of the equals sign, and a variable called r on the right side, what do you think r might represent?

whpalmer4 · Answer

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The circle is essentially doing a right triangle with all the possible values of x and y that make the hypotenuse be the radius of the circle.  so $r$ in that formula is the radius of the circle.  If $r$ gets larger, the circle gets

a) larger
b) smaller
c) stays the same
d) idk, just give me the answer