April 15

Week 8 – Parabolas

this week in math we learnt more about parabolas and I tried relating this week to last week and show you how helpful the discriminant truly is.

here we have 3 parabolas that show the different types of discriminant, in the first one the discriminant is greater than zero and intercepts the x-axis twice meaning we have 2 roots

in the next we have the parabola touch the x-axis which means we have only 1 real root

in the last one the parabola doesn’t even touch the x-axis which means we don’t have an intercept and no roots

April 15

Week 7 – Interpreting the Discriminant

It’s important to know the discriminant because then you know how many roots your equation will have, for example.

if discriminant < 0 then your equation will have 0 real roots

if discriminant = 0 then your equation will have exactly 1 root

if discriminant > 0 then your equation will have 2 roots

In the equation above I show you where to find the discriminant and I’ve done a question using it, in the question I did the discriminant is less than 0 meaning that it does not have any real roots