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January 09, 2017
4.7 Transforming Polynomials
• I can translate a polynomial function.• I can reflect polynomial functions of the x and yaxis.• I can compress and stretch polynomial functions.• I can combine polynomial transformations.
4.7 Notes SB partial filled in.notebook
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January 09, 2017
4.7 Notes SB partial filled in.notebook
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January 09, 2017
b.a.
♦I can translate polynomial functions.♦
Example 1: For , write the rule for each function and sketch itsgraph.
4.7 Notes SB partial filled in.notebook
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January 09, 2017
b.a.
♦I can translate polynomial functions.♦Checkpoint: For , write the rule for each function and sketch itsgraph.
4.7 Notes SB partial filled in.notebook
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January 09, 2017
b.a.
♦I can reflect polynomials over the x and yaxis.♦
Example 2: Let . Write a function g that performs each transformation.
Reflect f (x) across the xaxis. Reflect f (x) across the yaxis.
4.7 Notes SB partial filled in.notebook
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January 09, 2017
b.a.
♦I can reflect polynomials over the x and yaxis.♦
Checkpoint: Let . Write a function g that performs each transformation.
Reflect f (x) across the xaxis. Reflect f (x) across the yaxis.
4.7 Notes SB partial filled in.notebook
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January 09, 2017
b.a.
♦I can compress and stretch polynomial functions.♦
Example 3: Let . Graph f and g on the same coordinateplane. Describe g as a transformation of f.
Describe: Describe:
4.7 Notes SB partial filled in.notebook
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January 09, 2017
b.a.
♦I can combine polynomial transformations.♦Example 4: Write a function that transforms in each of the following ways. Support your solution by using a graphing calculator.
Stretch vertically by a factor of 2,
and shift 3 units left.
Reflect across the xaxis and shift
3 units up.
4.7 Notes SB partial filled in.notebook
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January 09, 2017
b.a.
♦I can combine polynomial transformations.♦Checkpoint: Write a function that transforms in each of the following ways. Support your solution by using a graphing calculator.
Compress vertically by a factor
of 1/2, and move the xintercept
3 units right.
Reflect across the xaxis, and move
the xintercept 4 units left.