mac1105_lecture14_1

mac1105_lecture14_1 - L14 Graphing Techniques:...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
131 L14 Graphing Techniques: Transformations; Mathematical Models Transformations Vertical and Horizontal Translations: ( 0) c > To graph: shift () fx c units: fx c + + Example: Graph the function 31 yx =− .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
132 Vertical Compressions and Stretches: Example: Above is the graph of 1 3 yx = . In the same plane, graph 1 3 2 = and 1 3 1 2 = . The graph of ( ) ya f x = ( 0 a ) is obtained from the graph of ( ) yf x = by multiplying by a the y - coordinate of each point that is on the graph of f . Compared to the graph of ( ) x = , the graph of () f x = is: stretched vertically if 1 a > ; compressed vertically if 01 a << .
Background image of page 2
133 Horizontal Compressions and Stretches: 3 () fx x = 3 (2 ) fx x = 3 11 22 x ⎛⎞ = ⎜⎟ ⎝⎠ The graph of ( ) yf a x = ( 0 a ) is obtained from the graph of ( ) x = by multiplying by 1 a the x - coordinate of each point which is on the graph of f . Compared to the graph of ( ) x = , the graph of a x = is: stretched horizontally if 01 a < < ; compressed horizontally if 1 a > .
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
134 Reflections across the x -Axis and y -Axis: In order to obtain the graph of ( ) yf x = − , reflect the graph of ( ) x =
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.

Page1 / 10

mac1105_lecture14_1 - L14 Graphing Techniques:...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online