Year 9 ET2 Review

$$Here\ are\ the\ first\ 4\ terms\ of\ a\ quadratric\ sequence\ 19,15,9,1$$

$$find\ the\ n^{th}\ term\ of\ this\ sequence.$$

$$Write\ x^2-6x+1\ in\ the\ form\ of\ (x+a)^2+b,\ where\ a\ and\ b\ are\ integers.$$

$$Write\ 2x^2-12x+23\ in\ the\ form\ of\ a(x+b)^2+c,\ where\ a,b\ and\ c\ are\ integers.$$

$$Hence,\ or\ otherwise,\ write\ down\ the\ coordinates\ of\ the\ turning\ point\ of\ the\ graph\ x^2-6x+1.$$

$$Hence,\ or\ otherwise,\ write\ down\ the\ coordinates\ of\ the\ turning\ point\ of\ the\ graph\ 2x^2-12x+23.$$

$$Solve\ x^2+5x+3=0$$

$$Give\ your\ answer\ correct\ to\ 2\ decimal\ places.$$

$$Solve\ 2x^2+13x+7=0$$

$$Give\ your\ answer\ correct\ to\ 2\ decimal\ places.$$

$$Factorise\ x^2+3x-28$$

$$Factorise\ x^2+5x-6$$

$$Factorise\ 50-2y^2$$