SOLUTION: prove that y=x-3 is a tangent to the curve y=x^2-5x+6.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: prove that y=x-3 is a tangent to the curve y=x^2-5x+6.      Log On


   

Question 156833: prove that y=x-3 is a tangent to the curve y=x^2-5x+6.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y=x-3 (red line)
y=x^2-5x+6 (green curve)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x+-3%2C+x%5E2+-5x+%2B6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions x -3 and x^2 -5x +6).
A picture is worth many calculations.