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.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!