Determine The Equation Of A Parabola Given 3 Points | Higher Maths

This video will show you how to Determine The Equation Of A Parabola Given 3 Points. In Higher Maths, we can determine the equation of a parabola if we know the roots of the quadratic and another point. The equation of a parabola takes the form of y = k(x - a)(x - b) where a and b are the roots of the quadratic equation and k is determined using another point and substituting into the equation of the parabola.

0:00 - Introduction - Discussion of quadratics of the form y = k(x - a)(x - b) and using a third point to find k given the points (a,0) and (b,0).

0:40 - Simple example using 3 points to find the equation of a parabola in the form
y = k(x - a)(x - b)

2:58 - Simple example of using 3 points to determine the equation of a parabola and leaving your answer in the form y = ax^2 + bx + c

5:55 - Example of determing the equation of a parabola when the roots are equal to the turning point.

7:22 - Example of determining the equation of a parabola with no real roots - given the turning point.

[MaxWilson-dl]

This video was fantastic. You have covered so much content and you have taught me this new skill in less than 10 minutes. Keep up the great work.