Question

Is 5x ² a horizontal shrink or vertical stretch compared to 2x ² ?

A) Horizontal shrink by a factor of 5.
B) Vertical stretch by a factor of 5.
C) Horizontal shrink by a factor of 1/5
D) Vertical stretch by a factor of 1/5
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Answer 1

The function 5x² is a vertical stretch by a factor of 5 compared to the function 2x².

Step-by-step explanation:

When comparing the functions 5x² and 2x², we look at the coefficient in front of the x² term to determine the type of transformation. The coefficient tells us how the graph of the function is being stretched or shrunk. In this case, since 5 is greater than 2, the function 5x² represents a vertical stretch by a factor of 5 when compared to the function 2x². It is not a horizontal shrink; horizontal changes are related to transformations inside the function affecting the x variable, not the coefficient in front of x², which affects the vertical scaling.