Combinations of transformationsAQA A-Level Maths: Mind map

Exam questions on Combinations of transformations

1. The curve $y=f(x)$ has a minimum point at $(1,-3)$.
   Write down the coordinates of the turning point of the curve $y=3-f(x)$ and state whether it is a maximum or a minimum.2 marks
2. The curve $y=g(x)$ has a maximum point at $(-2,5)$ and crosses the $x$-axis at $(-5,0)$ and $(1,0)$.
   Write down the coordinates of the maximum point of the curve $y=2g(x-1)-3$.2 marks
3. The curve $C$ has equation $y=x^2$. The curve $D$ has equation $y=2(x-3)^2+1$.
   Describe a sequence of three transformations that maps $C$ onto $D$.3 marks