1. Graph the function g that is formed by applying the indicated sequences of transformations to the function f(x) = |x|. Then find an equation for the function g.
The graph of f is reflected about x axis and shifted to the left 3 units.
2. Find the intercepts, vertex, maximum or minimum value, and range of the quadratic function f(x) = -(x - 3)2 + 2.
3. Find the domain and intercepts of the function f(x) = 4 - 2x/x - 4.
4. Let f(x) = 2x2/x2 - x - 6. Find the vertical and horizontal asymptotes of the graph of f, if any exist. Express your answers as linear equations.