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

4382 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Intergrate 8x^3 + 6x^(1/2) -5 with respect to x


Integrate, by parts, y=xln(x),


Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.


Two particles, A and B, are moving directly towards each other on a straight line with speeds of 6 m/s and 8 m/s respectively. The mass of A is 3 kg, and the mass of B is 2 kg. They collide to form a single particle of speed "v" m/s. Find v.


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