MHB Drawing Contour Maps: Level Curves of $f(x,y)=(y-2x)^2$

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To draw a contour map of the function f(x,y)=(y-2x)^2, start by setting k equal to various positive values, which represent the level curves. For each value of k, solve the equation k=(y-2x)^2 to find the corresponding curves. This results in two equations for y: y=2x±√k, which can be plotted for different k values. The contour map will show parabolic curves that open upwards, illustrating the relationship between x and y for the given function. By plotting these curves, you can visualize how the function behaves across the xy-plane.
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draw a contour map of the function showing several level curves $f(x,y)=(y-2x)^2$

how do i do this. i know i have $k=(y-2x)^2$ but how do i use it?

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Use arbitrary positive values for $k$ and draw the resultant curve for each value.
 

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