f(x) = 4x^2 + 8x - 5 ; complete the square to find the turning point of f(x).

4x^2 + 8x - 5 = 0 4(x^2 + 2x - (5/4)) = 0 4((x + 1)^2 - 1^2 - (5/4)) = 0 4((x + 1)^2 - (9/4)) = 0 4(x + 1)^2 - 9 = 0 4(x + 1)^2 - 9 = 0 Turning point is at (-1, -9)

CK
Answered by Charlotte K. Maths tutor

9306 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

[Foundation} y = 4x - 3t. x = 2 and t = 5. Work out the value of y.


From June 2015 Edexcel paper: Solve 7x + 8 = 2x – 3


How do you factorise quadratic equations?


A cylinder has dimensions: diameter = 4x+2 and height = 4. Work out the volume of this cylinder. Give your answer in terms of 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:

© 2025 by IXL Learning