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# SUMMARY SHEET OF GRAPH TRANSFORMATIONS

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Graphs and Transformations Summary Sheet
Graphs and Transformations Summary Sheet. 1ical shifts: Let f be a function and c a positive constant. (a)The graph of f(x) + c is the graph of f shifted c units upward. (b)The graph of f(x) c is the graph of f shifted c units downward. (c)Example: Consider the graphs of f(x) = x2, g(x) = x2+ 5, and h(x) = x27. 2zontal shifts: Let f be a function and c a positive constant.[PDF]
Graphing Standard Function & Transformations
Graphing Standard Function & Transformations • If 0 < c < 1, then the graph is compressed in the y-direction by a factor of 1/c. Here is a picture of the graph of g(x) = 3(x)1/2. Since c = 3 > 1, the graph is obtained from that of f(x) = x1/2 by stretching it in the y-direction by a factor of c = 3.
Summary: Transformations of Functions | College Algebra
a transformation that stretches a function’s graph horizontally by multiplying the input by a constant $0<b<1$ odd function a function whose graph is unchanged by combined horizontal and vertical reflection, $f\left(x\right)=-f\left(-x\right)$, and is symmetric about the origin[PDF]
SUMMARY OF FUNCTION TRANSFORMATIONS
SUMMARY OF FUNCTION TRANSFORMATIONS The graph of y= Af. B(x+h) +kis a transformation of the graph of y= f(x). The transformations can be done in the following order: • A: The function stretches or compresses vertically by a factor of |A|. If A is negative, the function also reﬂects across the x-axis. • B: The function stretches or compresses horizontally by a factor of.[PDF]
SUMMARY OF FUNCTION TRANSFORMATIONS
SUMMARY OF FUNCTION TRANSFORMATIONS The graph of y= Af(B(t+ h)) + k is a transformation of the graph of y= f(t). The transformations are done in the following order: • B: The function stretches or compresses horizontally by a factor of 1 B . If Bis negative, the [PDF]
2. Graphical Transformations of Functions
transformation it may be graphed using the following procedure: Steps for Multiple Transformations Use the following order to graph a function involving more than one transformation: 1. Horizontal Translation 2. Stretching or shrinking 3. Reflecting 4. Vertical Translation Examples: Graph the following functions and state their domain and range: 1.
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