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PilotLPTM [1.2K]
3 years ago
15

Given that (-4,1) is on the graph of f(x), find the corresponding point for the function 4f(x)

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0
F(-4) = 1
4f(-4) = 4

The point of interest is (-4, 4).
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Answer:

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Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

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<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

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