9 3 study guide and intervention transformations of quadratic functions answers


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PDF 21 Transformations of Quadratic Functions

Describe the transformation of f(x) = x2 represented by g(x) = (x + 4)2 − 1 Then graph each function SOLUTION Notice that the function is of the form x

  • How do you translate a quadratic graph?

    Translation of Quadratic Functions
    Consider the quadratic function y=x^2. cc Function & Vertical Translation & bykUnits y=x^2 & y=x^2+k If k is a positive number, the translation is performed upwards.
    Conversely, if k is negative, the translation is performed downwards.
    If k=0, then there is no translation.

  • For quadratic functions, there is the grouping (parenthesis) that describes the horizontal shift, and any outside constant will be moving the function vertically.
    That is, f ( x ) = ( x ± h ) 2 ± k , where h is the horizontal shift and k is the vertical shift.

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