Combining a horizontal stretch and a horizontal shift: 7. (a) 03) Given a function f , suppose the graph of f is compressed horizontally by a factor of 3. (Each point moves to a point whose distance to the y axis is one third of its original distance.) Suppose that after this transformation, the new graph is shifted to the left by two units. Find a symbolic expression for the function with this graph in terms of f. Suppose that the graph of f is transformed with the same two transformations as above, but performed in the opposite order. Find a symbolic expression for the function with this graph. Suppose we wished to graph f G + 5), using the graph of f. If we wished to obtain the graph of f U; + 5) by a horizontal stretch followed by a horizontal shift, what would be the amounts of the stretch and the shift? If we wished to obtain the graph by a horizon- tal shift followed by a horizontal stretch, what would be the amounts of the shift and the stretch