The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x). How does the graph of g(x) compare to the graph of f(x)?
a) g(x) is stretched horizontally and reflected over the y-axis.
b) g(x) is stretched horizontally and reflected over the x-axis.
c) g(x) is compressed horizontally and reflected over the y-axis.
d) g(x) is compressed horizontally and reflected over the x-axis.

b) g(x) is stretched horizontally and reflected over the x-axis.

Step-by-step explanation:

The given parent function is

The transformed function is

We want to see how the transformed graph compares with the parent graph.

The negation inside means all x-coordinates we're negated.

This means, there is a reflection in the y-axis.

The factor of 2 within the function means a horizontal stretch by a factor of 1/2.

The correct answer is B.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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