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What transformation has changed the parent function f(x) = (.5)* to its new

appearance shown in the graph below? (1 point)

What transformation has changed the parent function f(x) = (.5)* to its new appearance-example-1
User Rodvlopes
by
7.5k points

1 Answer

1 vote

Answer:

  • Vertical compression by a factor of ¼

Explanation:

[Transformed] f(x) = ¼(.5)ˣ

[Original] f(x) = (.5)ˣ

____________________

I determined this transformation by comparing the notable points on the graph.

When x = -2 for the original function f(x), y = 4.

For this transformed graph y = 1 instead of 4.

Therefore y is scaled by ¼, and so that is the vertical compression.

User Mufeed
by
8.5k points

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