Determine, through investigation, the equations of the lines that have a slope of $2$ and that intersect the quadratic function $f(x)=x(x-6)$. once; twice; never.
2026-03-25 20:12:44.1774469564
Determine, through investigation, the equations of the lines that have a slope of $2$ and that intersect the quadratic function $f(x)=x(x-6)$
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Hint: the lines with slope $2$ have equation $y=2x+q$. Try intersecting them with your curve and determine $q$ appropriately.
I won't go further in my answer, since you should provide what you tried first ;)