Quadratic functions and their graphsIB MYP Maths Standard: Mind map

Exam questions on Quadratic functions and their graphs

1. The graph of $y = x^2 - 4x - 5$ is drawn for values of $x$ from $-3$ to $7$.
   Find the equation of the axis of symmetry of the graph.2 marks
2. A footballer kicks a ball from the ground. Its height $h$ metres after $t$ seconds is given by $h = 20t - 5t^2$, for $0 \le t \le 4$.
   Find the maximum height reached by the ball.2 marks
3. A function is defined by $f(x) = x^2 - 2x - 3$.
   Find the coordinates of the points where the graph of $f$ crosses the axes.3 marks