How would I graph an equation (x-cubed function) with a vertical stretch of 3, horizontal stretch of 1, vertical shift of 0, and reflection over the x-axis?
Vertical stretch of 3 means graph is stretched along y-axis 3 times. Therefore the value attained by y at any x is now attained by y/3 at the same x. So we can just replace y in the equation by y/3. Since the horizontal stretch is 1 so there is no need to make any changes in the x as the value attained by x at any y is now attained by x/1 at the same y. Vertical shift means the origin is shifted vertically, but since the shift is zero so there is no change in the origin. Reflection over the x-axis means the value attained by y at any x is now attained by -1y at the same x. So we replace y by -1y. And hence you get the new transformed equation that you need to plot.