Question

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

appearance shown in the graph below? (1 point)

Answer 1

• Vertical compression by a factor of ¼

Explanation:

[Transformed] f(x) = ¼(.5)ˣ

[Original] f(x) = (.5)ˣ

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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.