Complete the square of 2x^2+16x-24 and hence state the minimum value of the function

2[(x^2+8x-12) [Explain basic complete the square technique]2[(x+4)^2 -16 -12]2[(x+4)^2-28]2(x+4)^2-56The term (x+4)^2 is always greater or equal to 0. So the smallest value it can have is 0. So the minimum value of the function will be -56. (Draw a sketch of the curve )

JS
Answered by Jake S. Maths tutor

4022 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the curve whose gradient is given by dy/dx=xy and which passes through the point (0,3)


Show that Sec2A - Tan2A = (CosA-SinA)/(CosA+SinA)


If z is a complex number, solve the equation (z+i)* = 2iz+1 where the star (*) denotes the complex conjugate.


Integrate sin^2(x) with respect to x


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning