(Follow on from previous question) A curve has equation y= x^2+3x+2. Use your previous results to i) find the vertex of the curve ii) find the equation of the line of symmetry of the curve

i) y = x2+3x+2 = (x+3/2)2-1/4Solution for (x+3/2) = 0 is x coordinate, which is x = -3/2Solution for y value is the additional constant, which is y = -1/4Therefore the vertex (minimum point) is (-3/2,-1/4)
ii) The line of symmetry is x = -3/2 (a vertical line that runs through the vertex of the curve)

RI
Answered by Ross I. Maths tutor

3266 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

a circle c has the equation x^2 + y^2 -4x + 10y = k. find the center of te circle


Use integration by parts to find the integral of ln x by taking ln x as the multiple of 1 and ln x


Represent in partial fraction form the expression x/x^2-3x+2


There is a Ferris wheel where the passengers are placed 10m away from the centre. At what speed must they be moving in order for them to feel completely weightless at the top of the wheel.


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