You can put this solution on YOUR website! Graph the conic section
x^2-4y-4x=0
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Solve for y.
y =
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Pick values for x and find y.
Plot the points, draw a curve thru them.
Obviously the two x-axis intercepts are 0 and 4. The minimum value occurs at x=2. You can plug in other values for x and find the y of each and plot these points.