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

7117 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A plane flew from Frankfurt to Hong Kong. The flight time was 10hours 45minutes. The average speed was 852km/h. Work out the distance the plane flew.


In year 11, 3/7 of pupils go on holiday abroad in the summer break. Out of these, 1/3 go to France. Determine the ratio of pupils who go to France in summer to pupils who do not go to France in summer.


A rectangle has an area of 20 cm2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.


How to solve the simultaneous equations of 3x + 2y = 9 and x-y = 3


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