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Understanding Function Stretch & Shrink: Investigation & Graphing

Investigate the effect of multiplying a function by a constant, creating stretch or shrink. Complete the table, graph functions on the same plane, understand vertical stretch/shrink factor, and solve examples.

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Understanding Function Stretch & Shrink: Investigation & Graphing

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  1. Stretch and Shrinks 8

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

  3. Investigate! • Complete the table below, then graph each function on the same coordinate plane g

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

  5. Investigate! g

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

  7. Adding onto our equation a is called the “vertical stretch/shrink factor” Note: If then it flipped over x-axis

  8. 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 ()

  9. ExamplesAsk yourself: over 1, up? • +2

  10. Example: Write an equation

  11. Zoom in • Fill in the blanks

  12. Homework • All problems on Stretch/shrink worksheet

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