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

Related Maths GCSE answers

All answers ▸

John invests £8000 at compound interest rate of 1.5% per year. He wants to earn more than £2000 in interest. What is the LEAST time in WHOLE years that this will take?


Solve the simultaneous equations 2x + y = 7 and 3x - y = 8.


How should I calculate the values of a and b when a(4x+12) is equivalent to 2x+36b?


A car costs £300. The price is then reduced by 20%. However, the shop increases the new price by 15%. Fadhila says, "20 - 15 = 5, so the original price of the car has been reduced 5%". Is she right? What is the final price of the car?