Google ClassroomGoogle Classroom
GeoGebraGeoGebra Classroom

Exploring the the Graph of a Circle

Use the sliders to adjust the values of h, k, and r for the general form of the equation of a circle, (x - h)^2 + (y - k)^2 = r^2.

What happens to the circle when you change the value of h?

If you adjust the h slider to positive numebers, in what direction does the circle move?

If you move the h slider going to negative numbers, in what direction does it move?

When the slider for h increases from 0 to 4 (k and r fixed), the circle moves:

The value of h controls the:

Puneți răspunsul aici
  • A
  • B
  • C
Verifică răspunsul (3)

What happens to the circle when you change the value of k?

If k is positive, in what direction does the circle move?

If k is negative, in what direction does it move?

If k changes from 3 to -2 (h and r fixed), the circle moves:

If k=−4 the center of the circle moves:

Puneți răspunsul aici
  • A
  • B
  • C
  • D
Verifică răspunsul (3)

Which change will NOT affect the position of the center?

What happens when both h and k are positive?

What happens when both h and k are both negative?

What happens when r increases?

What happens when r decreases?

What would the graph look like if r = 0?