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

5456 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A linear sequence starts a + 2b, a +6b, a + 10b. The 2nd has a value of 8 and the 5th term has a value of 44. What are the values of a and b?


(root18 +root2)sqaured/(root8-2). Give answer in form A(B+rootC) where A,B and C are integers


Solve the inequality 5x - 7 > 2x +5


(This was taken from a GCSE past paper)A bag of 24 spoons costs £19.95. A box of 18 forks costs £15.55. Bags and boxes cannot be split. Gregor decides to buy the same number of spoons as forks. He places an order to buy the smallest number of each


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