The graph of y = x^2 + 4x - 3 (Graph A) is translated by the vector (3 | 2), find the equation of the new graph (Graph B)

Minimum point of Graph A:*complete square to find(x+2)^2 - 4 - 3 = 0(x+2)^2 - 7 = 0Therefore minimum point = (-2, -7)Minimum point of Graph B:(-2+3, -7+2) = (1, -5)*reverse complete the square method(x-1)^2 - 5 = 0(x-1)^2 - 1 - 4 = 0Therefore equation of Graph B :y = x^2 - 2x - 4

GB
Answered by George B. Maths tutor

5261 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out the solutions to the following quadratic equation: x² + 7x + 10 = 0 by factorising.


Solve this pair of simultaneous equations: 3x + 2y = 4 and 2x + y = 3


What is the equation of a straight line? Describe what all the terms within the equation do.


Solve this simultaneous equation: 5n+t= 21 n-3t=9


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:

© 2026 by IXL Learning