Let f(x)

Question

represent a function.

Drag and drop the answers into the boxes to correctly match the descriptions with the given transformations.

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3.5f(x)
f(x−3.5)
The option "&nbsp;<span aria-label="f open argument x close argument"><math> <mrow> <mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow> </math></span> is translated 3.5 units right." (6 of 6) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

Answer 1

Here are the correct matches for the transformations based on the descriptions provided:

1. 3.5f(x): This transformation represents a vertical stretch or compression of the function f(x). Specifically, it stretches the function by a factor of 3.5. Therefore, the correct description is:

   • "The option f(x) is stretched vertically by a factor of 3.5."

2. f(x−3.5): This transformation represents a horizontal shift of the function f(x). It translates the function to the right by 3.5 units. Therefore, the correct description is:

   • "The option f(x) is translated 3.5 units right."

To summarize:

• 3.5f(x) → "The option f(x) is stretched vertically by a factor of 3.5."
• f(x−3.5) → "The option f(x) is translated 3.5 units right."