What is the domain of the sine function ?
2 answers:
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A circle with center and radius
has equation
If we substitute in this equation, we have
This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:
The expression simplifies to
The solutions to the associated equation are
So, the parabola is negative between the two solutions:
the easiest way I find a midpoint of two points is the midpoint theorem, here it is:
For x and y plug in the two coordinates given, (4,-4) & (0,8)
so once you plug the numbers into the equation you would get:
(2,2)