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### Section 2.5 - Summary - S - 10th

Course: MATH 30191, Spring 2008
School: Montgomery MD
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Word Count: 177

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180 MA - Precalculus Professor Terry Section 2.5: Graphs of Functions - Summary A. Vertical Shifting of the Graph of f(x) Vertical shift c units upward: Vertical shift c units downward: h(x) = f(x) + c h(x) = f(x) c c&gt;0 c&gt;0 C. Vertical Stretching or Compressing of the Graph of f(x) Vertical Stretch: Vertical Shrink: h(x) = c f(x) h(x) = c f(x) c&gt;1 0 &lt; c &lt; 1 (a fraction) D....

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180 MA - Precalculus Professor Terry Section 2.5: Graphs of Functions - Summary A. Vertical Shifting of the Graph of f(x) Vertical shift c units upward: Vertical shift c units downward: h(x) = f(x) + c h(x) = f(x) c c>0 c>0 C. Vertical Stretching or Compressing of the Graph of f(x) Vertical Stretch: Vertical Shrink: h(x) = c f(x) h(x) = c f(x) c>1 0 < c < 1 (a fraction) D. Reflecting of the Graph of f(x) in the x-axis Reflection in the x-axis: h(x) - = f(x) E. Reflecting of the Graph of f(x) in the y-axis Reflection in the y-axis: h(x) = f(-x) B. Horizontal Shifting of the Graph of f(x) Horizontal shift c units to the right: Horizontal shift c units to the left: h(x) = f(x c) h(x) = f(x + c) c>0 c>0 F. Horizontal Stretching or Compressing of the Graph of f(x) Horizontal Stretch: Horizontal Compress: MA180 Sec 2.5 Summary Fall05 ewt h(x) = f(cx) h(x) = f(cx) 0 < c < 1 (a fraction) c>1
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