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Section 3 - Shifting, Reflecting, and Stretching Graphs

Page history last edited by PBworks 14 years ago



There are 6 "parent" graphs, or commonly used graphs






















                       f(x)= |x|





                             f(x) = eq=\sqrt{x}




                                f(x) = eq=x^2





                        f(x) = eq=x^3




Vertical Shift

g(x) = f(x) + c           (c is the vertical shift)

+ c up, - c down


Example y= eq=x^2  - 4




Example y= eq=x^2  +7




 Horizontal Shift

g(x) = f(x + c)        horizontal shift within parenthesis,   opposite of sign

+ c moves left c

- c moves right c


Example eq=y=(x-3)^2






Example eq=y=(x+2)^2+6






g(x) = -f(x)      When negative is outside, reflect over x-axis

g(x) = f(-x)      When negative is inside, reflect over y-axis










Stretch or Shrink

g(x) = cf(x)

                     when c is greater than or equal to 1, stretch  (steeper slope)

                     when c is less than 1 but c is greater than 0 (fractions), shrink  (smaller slope)












Comments (1)

Anonymous said

at 8:20 pm on Jan 8, 2008

Graphs were major in this section - what happened to them? Also, check out the options for formatting with exponents. 15/20

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