# Lesson Worksheet: Function Transformations: Translations Mathematics • 10th Grade

In this worksheet, we will practice identifying function transformations involving horizontal and vertical shifts.

Q1:

The red graph in the figure has the equation and the blue graph has the equation . Express as a transformation of . • A
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Q2:

The red graph in the figure has the equation and the blue graph has the equation . Express as a transformation of . • A
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Q3:

The figure shows the graph of . Which of the following is the graph of ?

• A • B • C • D • E Q4:

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation . • A
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Q5:

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation . • A
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Q6:

Graph (a) shows the curve , which has a point of inflection at the origin. Determine the equation of graph (b), given that it is a translation of graph (a). • A
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Q7:

The function is translated units in the -direction and units in the -direction to form the function . Find the value of .

Q8:

The graph of a function , , is translated four units in the positive -direction. Write, in terms of , the equation of the translated graph.

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Q9:

The function is translated units in the direction of the positive . Find an equation for the transformed function.

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Q10:

A function has -intercepts at and 9. Where are the intercepts of ?

• Aat and 4
• Bat 1 and 14
• Cat 20 and
• Dat and 9