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SECTION 3-8 TRANSFORMING POLYNOMIAL FUNCTIONS Objectives: Transform Polynomial Functions Transforming Polynomial Functions • You can perform the same transformations on polynomial functions that you performed on quadratic and linear functions Transforming Polynomial Functions • Graph the parent functions ( YOU NEED TO KNOW THESE) f x x3 f x x4 Translating a Polynomial Function 3 f x x • For , write the rule for each function and sketch its graph, sketch the parent graph. g x x 2 3 h(x) = (x + 3)3 – 6 Reflecting a Polynomial Function • For f(x) = x3, write the rule for each function and sketch its graph and parent graph g x x3 g x x 3 Compressing and Stretching Polynomial Functions 4 • Let f(x) = x . Graph f and g on the same coordinate plane. Describe g as a transformation of f. 1 4 g x x 2 1 g x x 4 4 Combining Transformations • Write a function rule that transforms f(x) = x3 in each of the following ways. Compress vertically by a factor of 1/3, and shift 2 units right. • Write a function that transforms f(x) = x4 in each of the following ways. Compress horizontally by a factor of ½, shift the 5 units left, and shift 2 units up .