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In this lesson, we will learn how to find the coordinates of a point on a transformed periodic function graph.

Q1:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to π ( 2 π₯ ) . Determine the coordinates of π΄ following this transformation.

Q2:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to π ( π₯ ) β 3 . Determine the coordinates of π΄ following this transformation.

Q3:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to π ( π₯ + 4 5 ) . Determine the coordinates of π΄ following this transformation.

Q4:

The figure shows the graph of . A transformation maps to . Determine the coordinates of following this transformation.

Q5:

Q6:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to β 3 π ( 5 π₯ β 5 ) β 4 . Determine the coordinates of π΄ following this transformation.

Q7:

Q8:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to π ( π₯ β 4 5 ) . Determine the coordinates of π΄ following this transformation.

Q9:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to β 4 π ( π₯ ) . Determine the coordinates of π΄ following this transformation.

Q10:

On the left is the graph of π ( π₯ ) and on the right is the graph of π΄ π ( π₯ ) + π΅ for some numbers π΄ and π΅ .

What is the pair ( π΄ , π΅ ) ?

Q11:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to 2 π ( π₯ ) . Determine the coordinates of π΄ following this transformation.

Q12:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to π ( π₯ ) + 2 . Determine the coordinates of π΄ following this transformation.

Q13:

Q14:

The figure shows the graph of π ( π₯ ) . A transformation maps π ( π₯ ) to 3 π ( 2 π₯ β 9 0 ) + 1 . Determine the coordinates of π΄ following this transformation.

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