The line y = x^2 -3x + 2 is reflected in the x-axis, find the equation of the new line that has been reflected.

To find the new equation you use the formula y = -f (x) to find the equation of the reflected line. Using y = -f (x) on y=x2 - 3x + 2 means you need to change the signs from positive to negative or negative to positive for all values on the right side (side with all the x's). For y= x2 - 3x + 2 applying the function y = -f (x) creates the new equation y= -(x2) + 3x - 2. It is important to remember that the x2 is negative and it's -(x)2 not (-x)2 , otherwise that would just result in a changing y-intercept and gradient make it a translation and stretch not a reflection.It can be helpful to draw it out on paper or a whiteboard to allow you to see the change, it should go from being a "smiley face" graph to a "sad face" graph. If the graph hasn't changed to or from smiley then you should check over your working again to make sure that you have changed the sign on the x2 part of the equation

Answered by Lily M. Maths tutor

5451 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find an equation of the straight line that is perpendicular to the straight line x + 3y = 7 and that passes through the point (4,9).


Solve the equation x^3-5x^2+7x-3=0


Make x the subject of the formula: 3x - 2 = y + 10


Solve the linear simultaneous equations: 3x + 5y = 45, 2x - 9y = -7


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences