Question

Consider the quadratic equation . Explain how the graph of this equation changes as B goes from 0 to 5.

Answer 1

\[x^2Bxy+y^2+6x+8y+F=0\]

Answer 2

is there a plus sign in between x^2 and bxy?

Answer 3

Yes. Thanks for pointing that out.

Answer 4

well this is not a quadratic for starters, it is a conic and it is a circle to be precise

Answer 5

Ok, I see that now. But I am still not quite sure exactly how changing B would effect the graph. How would the circle transform?

Answer 6

It would move the center of the circle. I am taking a big guess. You would need to complete the square to determine the center of the circle and its radius.