A curve has the parametric equations
x=t+2,y=t2+k x = t + 2, \quad y = t^2 + k x=t+2,y=t2+kwhere k k\,k is a positive constant.
Find a cartesian equation for the curve in terms of kkk.
Sketch the curve
215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.