Quadratic functions and graphsAQA A-Level Maths: Mind map

Exam questions on Quadratic functions and graphs

1. The quadratic function $f$ is defined by $f(x)=x^{2}-6x+13$.
   Show that the equation $f(x)=0$ has no real roots.2 marks
2. The quadratic function $g$ is defined by $g(x)=2x^{2}+8x-3$.
   Solve $g(x)=0$, giving your answers in exact form.2 marks
3. The equation $x^{2}-kx+(k+3)=0$, where $k$ is a constant.
   Find the values of $k$ for which the equation has a repeated root.3 marks