Here's a question that I am having trouble with:
What is the resulting equation when y=x^3+2x^2 is reflected across the y=x line?
I know that I need to switch the y with the x's in the equation, so is the answer they're looking for simply x=y^3+2y^2 or do I need to simplify further to get y isolated on one side of the equation?
To reflect a function across the line y = x, you need to swap the x and y variables in the original equation.
Starting with the equation y = x^3 + 2x^2, we'll replace y with x and x with y to reflect across the line y = x.
Swapping the variables, we get x = y^3 + 2y^2.
This is the resulting equation after reflecting across the line y = x. Note that this equation is already in simplified form.