Y=(-8x-4)^(1/3) y=(x)^(1/3) y=a*(b(x-c))^(1/3))+d In this equation, a is equal to one and d is equal to 0, so the equation is reduced to y=(b(x-c))^(1/3). Here, you can see that the b value is equal to -8, which would leave a c value of (-1/2) according to the equation. This would mean that the transformations from y=x^(1/3) to the equation in the problem would include: a horizontal shift of -1/2, or to the left of the y-axis by .5 units, a reflection across the x-axis, due to the negative b value, and the b value of 8, ignoring the sign due to that demonstrating the reflection, would mean that it is horizontally compressed by 1/8.
Pick any point on any side of the line. substitute X and Y in the inequality for (x,y)-the point you chose. If you simplify and the inequality is true, shade in that side. If it is false, shade in the other side.
