Question

Can Somebody Please Help With This?

Drag each tile to the correct box.

Consider this function.

f(x) = 5^x

How is function f transformed to create function g?

Match each transformation of function f with its description.





A. vertical stretch of a factor of 3

B. vertical compression of a factor of 1/3

C. horizontal stretch of a factor of 3

D. horizontal compression of a factor of 1/3


Options:

1. g(x) = 3(5)^x

2. g(x) = 1/3(5)^x

3. g(x) = 5^1/3x

4. g(x) = 5^3x

Answer 1

Answer:

  see below

Step-by-step explanation:

A multiplier on the function value moves its y-coordinate farther from the x-axis by that multiplier value. It is the stretch factor. Stretch factors less than 1 cause the graph to be compressed vertically.

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A multiplier on the independent variable means it doesn't need to be as large to give the same function value. That is, multiplication of x by a factor of k compresses the graph horizontally by that factor of k. Equivalently, it does a horizontal stretch by a factor of 1/k.