Describe the transformation that involves a vertical stretch by a factor of 3 and a horizontal stretch by a...

Question

Describe the transformation that involves a vertical stretch by a factor of 3 and a horizontal stretch by a factor of 1.

CramX · Accepted Answer

Step 1: I'll solve this problem step by step, following the specified LaTeX formatting guidelines:. Step 2: : Understand the Transformation. A transformation involves changing the shape, size, or position of a graph. In this case, we have two specific stretches: - Vertical stretch by a factor of 3 - Horizontal stretch by a factor of 1 Step 3: : Analyze the Vertical Stretch. - A vertical stretch by a factor of 3 means that every y-coordinate is multiplied by 3 - This will make the graph taller, expanding it vertically Step 4: : Analyze the Horizontal Stretch. - A horizontal stretch by a factor of 1 means no horizontal change occurs - Since the factor is 1, the graph remains unchanged horizontally Step 5: : Combine the Transformations. - The vertical stretch will elongate the graph vertically by a factor of 3 - The horizontal stretch has no effect due to the factor of 1 Final Answer: The graph becomes 3 times taller but maintains its original horizontal width.

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Understand the Transformation

Step 3:
: Analyze the Vertical Stretch

Final Answer

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