The modulus functionAQA A-Level Maths: Mind map

Exam questions on The modulus function

1. The graph of $y=|2x-6|$ is considered.
   Write $y=|2x-6|$ without modulus signs, stating the values of $x$ for which each form applies.2 marks
2. The curve $y=|x+4|$ and the horizontal line $y=k$, where $k$ is a constant, are considered.
   Find the coordinates of the points where the curve $y=|x+4|$ meets the axes.2 marks
3. The curve $C$ has equation $y=|4-3x|$.
   Find the coordinates of the vertex of $C$ and of the point where $C$ meets the $y$-axis, and state the equation of the line of symmetry of $C$.3 marks