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Turn homework into the box-staple together and make sure both names are on sheet!! Sckett

Turn homework into the box-staple together and make sure both names are on sheet!! Sckett. Transformation of Functions. Linear Function f(x) = x. The squaring function . The absolute value function . Absolute value- distance from zero for order of operations works like ( ).

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Turn homework into the box-staple together and make sure both names are on sheet!! Sckett

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  1. Turn homework into the box-staple together and make sure both names are on sheet!!Sckett

  2. Transformation of Functions

  3. Linear Functionf(x) = x

  4. The squaring function

  5. The absolute value function Absolute value- distance from zero for order of operations works like ( )

  6. The cubing function

  7. Vertical shifts up or down Vertical Translation ( ) outside y = x+ b shifted upb units; y = xb shifted downb units.

  8. Horizontal shifts left or right Horizontal Translation (inside) BACKWARDS y = (x  d) shifted rightd units; y = (x + d) shifted leftd units.

  9. Use the basic graph to sketch the following:

  10. Combining a vertical & horizontal shift • Example of function that is shifted down 4 units and right 6 units from the original function.

  11. Parent Functions y = x y = /x/ y = x3 y = x2

  12. Vertical shifts ( ) ± outside( ) + up ( ) - down • Horizontal shifts (±inside ) ( + left ) ( - right)

  13. Reflections • The graph of f(x) is the reflection of the graph of f(x) across the x-axis. (fold at x axis-flips it up and down)

  14. Use the basic graph to sketch the following:

  15. Vertical Stretching and Shrinking The graph of af(x) can be obtained from the graph of f(x) by stretching vertically for |a| > 1, or skinner shrinking vertically for 0 < |a| < 1. fatter Multiply outside of ()

  16. VERTICAL STRETCH (SHRINK)

  17. Horizontal Stretching or Shrinking The graph of y = (cx) shrinking horizontally for |c| > 1, or skinner stretching horizontally for 0< |c|< 1. fatter Multiply inside of ()

  18. Which Way Will You Shift?  Matching -- match the letter of the list on the right with the function on the left.

  19. Horizontal stretch & shrink

  20. CHEAT SHEET • y = 3/2x + 1/ + 4 • Left 1 • Shrinking horizontal by 2 • Stretching vertical by 3 • Up 4 • y = -3/-2x -1/ - 4 • Right 1 • Stretching's horizontal by 2 • Shrinking vertical by 3 • Down 4

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