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Use the word bank provided to describe the effects t, a, h, and k have on the absolute value parent graph. Up Left Vertical compression Reflect over x-axis Transformation Vocabulary Down Right Vertical expansion (or stretch) No reflection REFLECTIONS HORIZONTAL TRANSLATIONS a<0: x + h: translate a > 0: x - hl: translate h(x) =± a|(x - h)| +k VERTICAL TRANSLATIONS a > 1: +k translate 0

Use the word bank provided to describe the effects t, a, h, and k have on the absolute value parent graph. Up Left Vertical compression Reflect over x-axis Transformation Vocabulary Down Right Vertical expansion (or stretch) No reflection REFLECTIONS HORIZONTAL TRANSLATIONS a<0: x + h: translate a > 0: x - hl: translate h(x) =± a|(x - h)| +k VERTICAL TRANSLATIONS a > 1: +k translate 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the word bank provided to describe the effects t, a, h, and k have on the absolute value parent graph. Transformation Up Left Vertical compression Reflect over x-axis Vocabulary Down Right Vertical expansion (or stretch) No reflection REFLECTIONS HORIZONTAL TRANSLATIONS a<0: |x +h: translate a> 0: x-h: translate h(x) =± a|(x - h)| +k VERTICAL TRANSLATIONS a > 1: + k translate 0<a<1: -k translate : up : down : left : right : vertical compression (widens) :: verticla stretch (narrows) : reflect over x-axis : no reflection
Transcribed Image Text:Use the word bank provided to describe the effects t, a, h, and k have on the absolute value parent graph. Transformation Up Left Vertical compression Reflect over x-axis Vocabulary Down Right Vertical expansion (or stretch) No reflection REFLECTIONS HORIZONTAL TRANSLATIONS a<0: |x +h: translate a> 0: x-h: translate h(x) =± a|(x - h)| +k VERTICAL TRANSLATIONS a > 1: + k translate 0<a<1: -k translate : up : down : left : right : vertical compression (widens) :: verticla stretch (narrows) : reflect over x-axis : no reflection
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The given equation is:

hx=±ax-h+k

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