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Home > PC3 > Chapter 11 > Lesson 11.1.2 > Problem 11-33

11-33.

Using the graph of at right, sketch each of the following transformations.

  1. The function value, , is the -value. How does the graph change if is added to each -value?

  2. New function: If , f(new) is equivalent to from the original function. Also, what does multiplication by do to the function?

  3. became , or y became . Also, be sure to shift the curve units right.

  4. in the original function occurs when in the new function.

Continuous Piecewise graph, line coming from lower left, passing through (negative 4, comma 0), turning at (negative 2, comma 2), to upward parabola, vertex at the origin, turning at (3, comma 3), continuing horizontal to the right.