Transformations of graphsAQA A-Level Maths: Mind map

Exam questions on Transformations of graphs

1. The curve $y=f(x)$ has a minimum point at $(3,-2)$.
   Write down the coordinates of the minimum point of the curve $y=2f(x-1)$.2 marks
2. The curve $y=f(x)$ crosses the $x$-axis at $(-2,0)$ and $(3,0)$ only, and crosses the $y$-axis at $(0,6)$.
   Describe fully the single transformation that maps $y=f(x)$ onto $y=f(x+2)$, and write down the $x$-intercepts of $y=f(x+2)$.2 marks
3. The function $f$ is defined by $f(x)=x^2-4x+7$.
   Show that the curve $y=f(x+1)$ has equation $y=x^2-2x+4$.3 marks