Maths - Quadratic and Straight Line Intersections
How do you find the intersection for something like $y = 5 - 2x$ and $y = 3x^2 + 5x - 3$?
- Set them equal to each other and simplify.
- $5 - 2x = 3x^2 + 5x - 3$
What’s the most amount of times a straight line and a quadratic could intersect?
2.
What’s the least amoount of times a straight line and a quadratic could intersect?
0.
A line of the form $y = mx+c$ with one point of intersection with a quadratic has what relationship?
That line is a tangent to the parobala.
Why isn’t a straight line with one point of intersection necessarily a tangent?
Consider a straight line like $x = 5$, which passes through a parobala but is not tangent.