SOLUTION: How many ways can a line intersect a parabola? Explain with examples

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: How many ways can a line intersect a parabola? Explain with examples      Log On


   

Question 288725: How many ways can a line intersect a parabola? Explain with examples
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No intersection points.
y=x%5E2
y=2x-4
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+x-3%29+
.
.
.
One intersection points.
y=x%5E2
y=2x-1
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C%0D%0A2x-1%29+ .
.
.
Two intersection points.
y=x%5E2
y=2x%2B1
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+2x%2B1%29+