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Transformation of Quadratic Function Worksheets

This compilation of well-researched worksheets has been designed to help learners strengthen their understanding on transformation of quadratic functions, transforming the graphs, finding the transformation function g(x) from its parents function f(x) and identifying the various types of shifts. Knowledge of the rules of transformation is a prerequisite to solve worksheets based on horizontal shift, vertical shift and reflection. Click on the 'Download all' option to gain access to all worksheets under this topic.


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Translation of the graph: Level 1

Translate each quadratic function according to the indicated shift. Students should draw the new position of the graph after translation. Right, left, up and down shifts are included. Use the answer key to verify your responses.

Translation of the graph: Level 2

In this series of second level of worksheets, translate f(x) as per a combination of two subsequent translations provided. Shift them as indicated to get the translated graph g(x).

Translation of the function: Level 1

Translate each given quadratic function f(x) in the series of worksheets provided here. Follow the relevant rules f(x)+c or f(x)-c to make up or down shifts and f(x+c) or f(x-c) to make left or right shifts.

Translation of the function: Level 2

Use the relevant rules to shift each quadratic function f(x) left/ right and up/ down. This set of transformation worksheets will require students to make two consecutive translations to obtain g(x).

Identify the translation from the graph: Level 1

This batch of transformation worksheets contains the graph of the function f(x) and its translation g(x). Read the graphs and identify the number of units up / down / left / right that g(x) is translated from f(x)

Identify the translation from the graph: Level 2

These worksheets comprise the graph of the parent function f(x) and its translation g(x). Students will need to identify two consecutive shifts (right/ left and up/ down) for every grid provided.

Reflection of the function

Write the reflection of each quadratic function f(x) provided in this set of transformation worksheets. A reflection on the x-axis will be obtained by multiplying the function by -1 i.e. -f(x). To find the reflection of the function across y-axis, find f(-x).

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