Question

9 Select the correct answer. Consider the function shown below. g(t) = 21 If the function g is horizontally compressed by a factor of 7 and reflected across the x-axis to obtain function f, which of the followi matches the above transformation? F(x) F(x) 4 24 2 -4 -2 2 4 -2 2. 4 -2 4 W. X. f(x) n. All rights reserved.

Answer 1

After the compression the function would be:

f(x) = 2^(2x)

After the reflection across the x-axis, the function would turno into:

f(x)=-2^(2x)

We can see the transformation in the following graph.

Red line: f(x) = 2^x

Blue line: f(x)= 2^(2x) (Horizontally compressed by a factor of 1/2)

Green line: f(x)=-2^(2x) (Reflected across the x-axis)

So, the answer would be option Y.