transformations! more than meets the eye! 2.9 transforming ... · more than meets the eye!"...
TRANSCRIPT
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!"
Sec 3 Honors 2.9.notebook
What does the graph of look like? What are its main points?
Sec 3 Honors 2.9.notebook
What does the graph of look like? What are its main points? How does it compare to the graph of ?
Sec 3 Honors 2.9.notebook
Solve It!
Sec 3 Honors 2.9.notebook
What do you remember about transformations of a function f(x)?
Vertical shift?
Horizontal shift?
Vertical reflection?
Horizontal reflection?
Sec 3 Honors 2.9.notebook
For Example:
Vertical Reflection
Vertex form for cubic and quartic functions:
Sec 3 Honors 2.9.notebook
Write the function: (y = x3 is parent function)
Sec 3 Honors 2.9.notebook
Write the function: (y = x3 is parent function)
Sec 3 Honors 2.9.notebook
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?
Sec 3 Honors 2.9.notebook
Let's compare to & .
Sec 3 Honors 2.9.notebook
Sec 3 Honors 2.9.notebook
Sec 3 Honors 2.9.notebook
Sec 3 Honors 2.9.notebook
Sec 3 Honors 2.9.notebook
Write the equation of the graph: (y = x3 is parent function)
Sec 3 Honors 2.9.notebook
Write the equation of the graph:(y = x3 is parent function)
Sec 3 Honors 2.9.notebook
Write the equation of the graph: (y = x4 is parent function)
Sec 3 Honors 2.9.notebook
Write the equation of the graph:(y = x4 is parent function)
Sec 3 Honors 2.9.notebook
How do we find real zeros of a function?
Sec 3 Honors 2.9.notebook
Sec 3 Honors 2.9.notebook
Previous problems in this lesson
Sec 3 Honors 2.9.notebook
Sec 3 Honors 2.9.notebook
Assignment:
Worksheet 2.9