Introduction to ellipse

Describe what the similarities and differences between variables h and k when you change its values using the sliders.

Describe what the similarities and differences between variables b and a when you change its values using the sliders.

What happens when the values for the variables a and b are negative? Does the ellipse look different if the value for a is 1 or -1? What about if b is 1 or -1?

Are their any values for any of the variables that will not work? If so why do you think that is? (Hint: put the value into the equation)

What will happen if the values for a and b are the same? What shape does it make? (Use values other than 0)

If the center of the ellipse is correlated to the values of the variables of k and h, what do the values of k and h have to be in order for the ellipse to be centered at (2,3)

If you center the ellipse at (0,0) what will the values of a and b have to be in order for the ellipse to touch the points (-1,0), (1,0) and (0,-2), (0,2).