How do I find the roots and and coordinates of the vertex of the graph y = 2x^2 + 4x - 8 ?

y = 2x^2 + 4x - 8y = 2( x^2 + 2x - 4)Completing the square:y = 2( (x+1)^2 - 1 - 4 )y = 2(x+1)^2 -10the vertex of graph lies at the minimum value of y, and this occurs when x = -1:y = 2(-1+1)^2 -10y = -10therefore the vertex lies at coordinates (-1,-10).For the roots, let the equation equal 0:2(x+1)^2 -10 = 02(x+1)^2 = 10(x+1)^2 = 5(x+1) = ± sqrt(5)x = -1 ± sqrt(5)

JA
Answered by Joe A. Maths tutor

7538 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Draw y=x^2+5


Simplify (4^2)*(2^3)*16


In an office there are twice as many females as males. 1/4 of females wear glasses. 3/8 of males wear glasses. 84 people in the office wear glasses. What is the total number of people in the office?


Solve simultaneous equations: 3x + y = 12 and 5x + 5y = 30


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