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is translated units to the left Example: Describe how the graph of each function is related to the graph of f(x) =

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If h < 0, the graph of f(x) = x 2 is translated h units to the left Study Guide and Intervention Transformations of Quadratic Functions Describe how the graph of

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is translated units to the left Example: Describe how the graph of each function is related to the graph of f(x) =

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Glencoe Algebra 1 Characteristics of Quadratic Functions Quadratic Function a function described by an equation of the form f(x) = ax2 + bx + c, where a ≠ 0

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[PDF] 9-3 Study Guide and Intervention Transformations of Quadratic

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 9 17 Glencoe Algebra 1

9-3 Study Guide and Intervention

Transformations of Quadratic Functions

Translations A translation is a change in the position of a figure either up, down, left, right, or diagonally.

Adding or subtracting constants in the equations of functions translates the graphs of the functions.

The graph of g(x) = ࢞૛ + k is the graph of f(x) = ݔଶ translated vertically. If k > 0, the graph of f(x) = ࢞૛ is translated k units up. If k < 0, the graph of f(x) = ࢞૛ is translated ȁ࢑ȁ units down.

The graph of g(x) = ሺ࢞െࢎሻଶ is the graph of f(x) = ࢞૛ translated horizontally.

If h > 0, the graph of f(x) = ࢞૛ is translated h units to the right. If h < 0, the graph of f(x) = ࢞૛ is translated ȁࢎȁ units to the left. Example: Describe how the graph of each function is related to the graph of f(x) = ࢞૛.le a. g(x) = ࢞૛ + 4 The value of k is 4, and 4 > 0. Therefore, the graph of g(x) = ݔଶ + 4 is a translation of the graph of f(x) = ࢞૛ up

4 units

b. g(x) = ሺquotesdbs_dbs2.pdfusesText_3

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