The diagram shows the curve \(y=\mathrm{f}(x)\), with turning points at \(A(3,\ 2.5)\) and \(B(0,\ 1)\). The lines \(y=1\) and \(x=-2\) are asymptotes of the curve.
\(y=\mathrm{f}(x-2)+2\)[2]
\(y=\mathrm{f}'(x)\)[3]
On separate diagrams, sketch the following graphs, clearly stating the equations of the asymptotes and the coordinates of the points corresponding to \(A\) and \(B\) where appropriate.
The parametric equations of a curve are given by \(x=t^2-2t,\ y=t^3-3t,\ t>0.\) The curve is reflected in the \(y\)-axis. Find the exact coordinates of the point(s) where the reflected curve intersects the \(x\)-axis.[2]
Solution:
Solution locked
Sign in to view the step-by-step solution
Similar questions are unavailable for this question.