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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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Step 1

The given equation is:

hx=±ax-h+k

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