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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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Presentation Transcript
slide2
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 ()
zoom in
Zoom in
  • Fill in the blanks
homework
Homework
  • All problems on Stretch/shrink worksheet
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