Graph transformationsEdexcel A-Level Maths: Mind map

Exam questions on Graph transformations

1. The curve $C$ has equation $y=f(x)$ and passes through the point $(3,-2)$.
   Find the coordinates of the image of this point on the curve $y=2f(-x)+1$.2 marks
2. The curve $C$ has equation $y=f(x)$, where $f(x)=x^2-6x+5$.
   Find the coordinates of the minimum point on the curve $y=f(2x)-1$.2 marks
3. The curve $C_1$ has equation $y=\cos x$ and the curve $C_2$ has equation $y=3+\cos2x$, where $x$ is in radians.
   Describe fully the sequence of two transformations that maps $C_1$ onto $C_2$.3 marks