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)

JR
Answered by Joshua R. Maths tutor

2500 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

In trigonometry , how do you find the angles of a right angle triangle?


Solve this quadractic equation: x^2 - 8x + 15 = 0


x is an integer such that ‎1≤x≤9, Prove that 0.(0x)recurring=x/99


Write down the value of 27^(-2/3)


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