Transformations! More than meets the eye! 2.9 Transforming ... · More than meets the eye!" Sec 3...

Sec 3 Honors 2.9.notebook

2.9 Transforming Polynomial Functions

• Transform functions• Find all real zeros • Given zeros write the function

"Transformations! More than meets the eye!"


What does the graph of look like? What are its main points?


What does the graph of look like? What are its main points? How does it compare to the graph of ?


Solve It!


What do you remember about transformations of a function f(x)?

Vertical shift?

Horizontal shift?

Vertical reflection?

Horizontal reflection?


For Example:

Vertical Reflection

Vertex form for cubic and quartic functions:


Write the function: (y = x3 is parent function)


So far every transformation we've learned about has been rigid in other words, the graph did not change shape, (in the vertex form "a" was always equal to 1). Now let's look at nonrigid transformations like stretching or shrinking a graph.

What would happen if we multiplied or by 5? How about by 1/2?


Let's compare to & .


Write the equation of the graph: (y = x3 is parent function)


Write the equation of the graph:(y = x3 is parent function)


Write the equation of the graph: (y = x4 is parent function)


Write the equation of the graph:(y = x4 is parent function)


How do we find real zeros of a function?


Previous problems in this lesson


Assignment:

Worksheet 2.9

Transformations! More than meets the eye! 2.9 Transforming ... · More than meets the eye!" Sec 3...

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Transcript of Transformations! More than meets the eye! 2.9 Transforming ... · More than meets the eye!" Sec 3...