Stretch and shrinks
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Stretch and Shrinks. 8. GOAL. Understand what happens to a function when it is multiplied by a constant. Investigate!. Complete the table below , then graph each function on the same coordinate plane. g. Notes.

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GOAL

  • Understand what happens to a function when it is multiplied by a constant.


Investigate
Investigate!

  • Complete the table below, then graph each function on the same coordinate plane

g


Notes
Notes

  • This is called a stretch because the y value increases for each value of x.



Notes1
Notes

  • This is called a shrink because the y value decreases for each value of x.


Adding onto our equation
Adding onto our equation

a is called the “vertical stretch/shrink factor”

Note: If then it flipped over x-axis


Remember
Remember!

  • All parent functions go through the point (1,1).

  • The value of a tells you the new point it will go through.

  • Example: will go through the point (1,3)

  • Example: will go though the point ()


Examples ask yourself over 1 up
ExamplesAsk yourself: over 1, up?

  • +2



Zoom in
Zoom in

  • Fill in the blanks


Homework
Homework

  • All problems on Stretch/shrink worksheet


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