3. The function f(x) = |x| has been transformed to y = af (k (x d)) + c according to the transformations listed below.

A horizontal compression by a factor of 1/2 , a reflection in the x-axis, and translation 1 unit to the right

and 6 units down.

1. a) Determine the equation of the transformed function y.

2. b) Sketch the graph of y. Use at least 5 points on the parent function and transform them accordingly. Dont use decimals, use fractions if needed. Show all work. [6 marks]

c) State the domain and range. [2 marks]