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CHAPTER 4 Calculator Notes for the TI-89, TI-92 Plus, and Voyage ...

CHAPTER 4 Calculator Notes for the TI-89, TI-92 Plus, and Voyage ...

CHAPTER 4 Calculator Notes for the TI-89, TI-92 Plus, and Voyage ...

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Note 4D • Trans<strong>for</strong>mations <strong>and</strong> Compositions (continued) <strong>TI</strong>-<strong>89</strong>/<strong>TI</strong>-<strong>92</strong> <strong>Plus</strong>/<strong>Voyage</strong> 200<br />

You can use <strong>the</strong> Home screen recursive loop y1(x)→x to evaluate <strong>the</strong> repeated<br />

composition of a function with itself. Store a starting value in x, <strong>the</strong>n type<br />

y1(x), press STOÍ , enter x, <strong>the</strong>n press ENTER ENTER ENTER , <strong>and</strong> so on. (See<br />

Note 1B <strong>for</strong> more on Home screen recursion.)<br />

Note 4E • TRANSFRM Program<br />

The program transfrm gives you practice finding equations <strong>for</strong> given<br />

graphs. You have a choice of 1:Parabola (translations of parabolas),<br />

2:Above or Sq Root (reflections <strong>and</strong> translations of square root functions <strong>and</strong><br />

parabolas), 3:Above or Abs Val (stretches, shrinks, reflections, <strong>and</strong> translations of<br />

absolute values, roots, <strong>and</strong> parabolas), or 4:Above or Semicircle (<strong>the</strong> same <strong>for</strong><br />

semicircles).<br />

After you select your option, <strong>the</strong> calculator will display a graph <strong>and</strong> stop.<br />

Study <strong>the</strong> graph <strong>and</strong> determine its equation. When you have decided on<br />

an equation, press ENTER ALPHA , type your equation into <strong>the</strong> box, <strong>and</strong><br />

press ENTER ENTER . If your equation is correct, you’ll have a match <strong>and</strong><br />

nothing new will appear on <strong>the</strong> screen. If your equation is not correct,<br />

<strong>the</strong> graphs will not match. In that case, press ENTER <strong>and</strong> try again.<br />

When you are finished with one graph, press ENTER Y ENTER ENTER to run <strong>the</strong><br />

program again.<br />

[15.8, 15.8, 1, 7.6, 7.6, 1] [15.8, 15.8, 1, 7.6, 7.6, 1]<br />

The option 5:Generic will draw <strong>the</strong> graph of a generic function using a thick<br />

line <strong>and</strong> <strong>the</strong> graph of its image after a trans<strong>for</strong>mation using <strong>the</strong> regular style.<br />

Type <strong>the</strong> equation of <strong>the</strong> image into <strong>the</strong> box. Use y8(x) to represent <strong>the</strong><br />

original function.<br />

[15.8, 15.8, 1, 7.6, 7.6, 1] [15.8, 15.8, 1, 7.6, 7.6, 1]<br />

Clean-Up<br />

After you quit <strong>the</strong> program, you may want to go to <strong>the</strong> Y Editor screen<br />

<strong>and</strong> clear <strong>the</strong> functions so <strong>the</strong>y don’t interfere with future work.<br />

Discovering Advanced Algebra <strong>Calculator</strong> <strong>Notes</strong> <strong>for</strong> <strong>the</strong> Texas Instruments <strong>TI</strong>-<strong>89</strong>, <strong>TI</strong>-<strong>92</strong> <strong>Plus</strong>, <strong>and</strong> <strong>Voyage</strong> 200 <strong>CHAPTER</strong> 4 35<br />

©2004 Key Curriculum Press<br />

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