9-28 Transformation description to absolute value equation

Homework for 9-29 Thursday is pages 34-36, items 7, 8, 9, 10, 11, 12

Pay attention to the units (dimensions) of the domain (input variable) and range (output variable).


Yesterday's homework notes page 32, 5a:

Start with y = | x |, the parent function.

Stretch vertically by a factor of 5  
>>>  Put something next to the absolute value bars which makes the slopes steeper

y = 5 | x |

Translate left 9 units
>>> Put something inside the absolute value bars which moves the graph to the left

y = 5 | x - (-9) |  which is written  y = 5 | x + 9 |

Translate down 23 units
>>> Put something outside the absolute value bars which moves the graph down

y = 5 | x + 9 | - 23



page 32, 5b:

Start with y = | x |, the parent function.

Reflect (flip) over the x-axis and stretch vertically by a factor of 4  
>>>  Put something next to the absolute value bars which flips and makes the slopes steeper

y = -4 | x |

Translate left 12 units
>>> Put something inside the absolute value bars which moves the graph to the left

y = -4 | x - (-12) |  which is written  y = -4 | x + 12 |