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:
Answer:
(-2, 3 )
(-1, 2)
(0, 2)
(1, 1)
(2, 1)
Step-by-step explanation:
You just simply substitue the values given into the equation, and the answer worked out will be the value of y.
a = - × -2 + 2 = 1 + 2 = 3
b = - × -1 + 2 =
+ 2 = 2
c = - × 0 + 2 = 0 + 2 = 2
d = - × 1+ 2 = -
+ 2 = 1
e = - × 2+ 2 = -1 +2 = 1
Hope this helps you :)