How do you complete a square

If you are given the equation y = x2+4x+1 First you determine what is in the squareMake sure your x2 term has no coefficientFind half the coefficient of the x termThat is your bracket term in this case - (x+2)2Then expand this bracket and determine what the numerical component isAdd or take away to get original number in this case 22 = 4. 4-3=1Therefore y = (x+2)2-3This can be used to find the minimum of the quadraticBeing (-2,-3)

Answered by Joshua R. Maths tutor

2459 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A class of pupils were asked about how they travelled to school on a particular day. 1/6 of the pupils were driven to school in a car. 2/5 of the pupils took the bus. The rest of the pupils walked to school. Calculate the fraction of pupils who walk


You are given that f(x) = cx + d and that f(0) = -6 and f(2) = 10. Find the values of c and d.


Factorise x^2 + 4x +3


What is a limit


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences