Transformations of functionsIB MYP Maths Extended: Mind map

Exam questions on Transformations of functions

1. The graph of $y=f(x)$ has a minimum point at $(2,-1)$.
   Write down the coordinates of the turning point of $y=-f(x)$, and state whether it is a maximum or a minimum.2 marks
2. The point $(4,6)$ lies on the graph of $y=f(x)$.
   Find the coordinates of the image of $(4,6)$ on the graph of $y=-f(x+1)$.2 marks
3. The graph of $y=x^2$ is transformed to give the graph of $y=(x+3)^2-5$.
   Describe the single transformation, and write down the coordinates of the vertex of the new graph.3 marks