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)

Answered by Charlotte K. Maths tutor

8053 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand 2(x - 10)^2


Out of a sample of 80 batteries, 3 are faulty. What percentage of the batteries are faulty?


There are 60 students on a school trip. Each student is either one of, vegan, gluten free, or neither. 27 students were girls. 9 girls were gluten free. 21 students were vegan. 8 boys were vegan. 4 boys were gluten free. How many boys had no dietary's?


Solve simultaneously: 3x+2y=7 & x-2y=-3


We're here to help

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