How to find the turning point on a curve?

The equation of the curve will be a quadratic i.e. it follows the form y=ax2+bx+cTo find the turning point, the quadratic will need to be solved using the completing the square method. This means to factorise the quadratic in such a way so that you can get a(x+b/2)2+c-b2/4.The turning point will be (-b/2,c-b2/4).

MV

Related Maths GCSE answers

All answers ▸

A right-angle triangle has sides AB, BC and CA with the right -angle between sides BC and CA. The angle between AB and BC is 24 degrees. The length of AB is 12m. How long is side BC?


The first four terms in a sequence are: -1, -4, -7, -10. Write an expression for the nth term of the sequence.


Solve the simultaneous equations : x^2 + y^2 = 13 and x = y - 5 .


Find the possible values of x for x^2 = 36-5x.