If: y = x-1 then y^2 = (x-1)^2
If: x^2 +y^2 = 1 then x^2 +(x-1)^2 -1 = 0
Multiplying out brackets: x^2 +x^2 -2x +1 -1 = 0
Collecting like terms: 2x^2 -2x = 0
Dividing all terms by 2: x^2 -x = 0
Completing the square: (x-0.5)^2 = 0.25
Square root both sides: x-0.5 = -0.5 or +0.5
Add 0.5 to both sides: x = 0 or x = 1
Points of contact by substitution x into original equations are at (0, -1) and (1, 0)
The two solutions are (x, y) = (-0.5, -sqrt(3.5)) and (-0.5, sqrt(3.5))
This is a parabola pointing 'down'. It's apex is at the point (4,0). It crosses the x-axis at the points (2,0) and (-2,0)
Apple is a large international company and has many points of contact. European sales are coordinated from Apple Sales International, Hollyhill Industrial Estate, 
Hollyhill, Cork
Republic of Ireland. For individual contact points in Germany see link below.
In coordinated geometry the points on a straight line will determine its equation.
Coordinated geometry
If 2x+5y = 4 and y^2 = x+4 then by combining the equations into a single quadratic equation and solving it the points of contact are made at (12, -4) and (-7/2, 3/2)
If: y = x2-x-12 Then points of contact are at: (0, -12), (4, 0) and (-3, 0)
It is coordinated geometry
A transversal is a line that crosses two or more other lines in the plane at different points.
Five points equals .5 carats where one carat equals 1.00 points.
Points on that meridian are called freezing points, especially where it crosses water.
Equations: 3x-2y = 1 and 3x^2 -2y^2 +5 = 0 By combining the equations into one single quadratic equation and solving it the points of contact are made at (3, 4) and (-1, -2)