Given the graph of y = g(x) below:
(a) Sketch the graph of y = -g(x) + 3
(b) Sketch the graph of y = g-1(x)
(c) Sketch the graph of
Solution
The graph of y = f(x) is shown at the left.
(a) Sketch the graph of .
SOLUTION:
(b) Sketch the graph of y = 3f(2x).
Solution
Given the function y = √x + 4 - 1.
(a) Find all intercepts. State the domain and range.
(b) Sketch the graph of y = -√x + 4 - 4.
(c) In words, describe what transformations were applied in what order to the original function to create the graph in (c) above.
Solution