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

7044 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make x the subject of 5(x-3) = y(4-3x)


How do I find the length of a side of a triangle using the cosine rule?


Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6


Write down the value of 169^1/2 (one hundred and sixty nine to the power of a half)


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