Quadratic functions and their graphsEdexcel International A Level Maths: Mind map

Exam questions on Quadratic functions and their graphs

1. The quadratic function $f(x)=x^2-6x+5$.
   Find the coordinates of the minimum point of the graph of $y=f(x)$.2 marks
2. A curve $C$ has equation $y=-2x^2+8x-3$.
   The line $y=-3$ meets $C$ at two points. Find the $x$-coordinates of these points.2 marks
3. A quadratic function is $f(x)=2x^2+px+q$, where $p$ and $q$ are constants. The graph of $y=f(x)$ crosses the $x$-axis at $x=-1$ and $x=\frac52$.
   Find the values of $p$ and $q$.3 marks