A curve has the parametric equations
x=t+k,y=t2+3 x = t + k, \quad y = t^2 + 3 x=t+k,y=t2+3where k k\,k is a positive constant.
Find a cartesian equation for the curve.
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.