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In this lesson, we will learn how to identify horizontal and vertical stretches of graphs.

Q1:

The figure shows the graph of π¦ = π ( π₯ ) .

Which of the following is the graph of π¦ = π ( 2 π₯ ) ?

Q2:

The figure shows the graph of π¦ = π ( π₯ ) and the point π΄ . The point π΄ is a local maximum. Identify the corresponding local maximum for the transformation π¦ = π ( π₯ ) 2 .

Q3:

Which of the following is the graph of π¦ = 2 π ( π₯ ) ?

Q4:

Which of the following is the graph of π¦ = π ο» π₯ 2 ο ?

Q5:

The red graph in the figure represents the equation π¦ = π ( π₯ ) and the blue graph represents the equation π¦ = π ( π₯ ) . Express π ( π₯ ) as a transformation of π ( π₯ ) .

Q6:

The figure shows the graph of π¦ = π ( π₯ ) and the point π΄ . The point π΄ is a local maximum. Identify the corresponding local maximum for the transformation π¦ = 2 π ( π₯ ) .

Q7:

The function π¦ = π ( π₯ ) is stretched in the vertical direction by a scale factor of 1 2 . Write, in terms of π ( π₯ ) , the equation of the transformed function.

Q8:

The function π¦ = π ( π₯ ) is stretched in the horizontal direction by a scale factor of 2. Write, in terms of π ( π₯ ) , the equation of the transformed function.

Q9:

The figure shows the graph of π¦ = π ( π₯ ) and the point π΄ . The point π΄ is a local maximum. Identify the corresponding local maximum for the transformation π¦ = π ( 2 π₯ ) .

Q10:

The function π¦ = π ( π₯ ) is stretched in the vertical direction by a scale factor of 2. Write, in terms of π ( π₯ ) , the equation of the transformed function.

Q11:

Which of the following is the graph of π¦ = 1 2 π ( π₯ ) ?

Q12:

The red graph in the figure represents the equation π¦ = π ( π₯ ) and the purple graph represents the equation π¦ = π ( π₯ ) . Express π ( π₯ ) as a transformation of π ( π₯ ) .

Q13:

The red graph in the figure represents the equation π¦ = π ( π₯ ) and the orange graph represents the equation π¦ = π ( π₯ ) . Express π ( π₯ ) as a transformation of π ( π₯ ) .

Q14:

The figure shows the graph of π¦ = π ( π₯ ) and the point π΄ . The point π΄ is a local maximum. Identify the corresponding local maximum for the transformation π¦ = π ο» π₯ 2 ο .

Q15:

The red graph in the figure represents the equation π¦ = π ( π₯ ) and the green graph represents the equation π¦ = π ( π₯ ) . Express π ( π₯ ) as a transformation of π ( π₯ ) .

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