E-TR02 · A transformed graph without a formula
The diagram shows \(y=f(x)\), made of straight-line segments joining \((-4,1),(-1,5),(2,-3),(6,2)\). Both endpoints are included. Define \(g(x)=-2f(3x-6)+1\).
Give the coordinate mapping from a point \((u,v)\) on \(f\) to its corresponding point on \(g\).
Find the domain and range of \(g\).
Sketch \(g\), giving exact coordinates of both endpoints and both turning points.
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