Can we sketch $y = x^2(2-x)$, and from this, $y^2 = x^2(2-x)$?
Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7839

Printable/supporting materials Printable version Fullscreen mode Teacher notes

Question

Draw a sketch-graph of the curve whose equation is \[\begin{equation*} y = x^2(2-x). \end{equation*}\] Hence, or otherwise, draw a sketch-graph of the curve whose equation is \[\begin{equation*} y^2 = x^2(2-x) \end{equation*}\]

indicating briefly how the form of the curve has been derived.

Previous Next

Chain Rule & Integration by Substitution

Can we sketch $y = x^2(2-x)$, and from this, $y^2 = x^2(2-x)$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Question

Tags

Station

Lines

Can we sketch $y = x^2(2-x)$, and from this, $y^2 = x^2(2-x)$?
Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource