A curve has the parametric equations
x=2t+1,y=t2−1 x = 2t + 1, \quad y = t^2 - 1 x=2t+1,y=t2−1Verify that the curve crosses the coordinate axes at (3,0)(3, 0)(3,0), (−1,0)(-1, 0)(−1,0) and (0,−0.75)(0, -0.75)(0,−0.75)
Verify that dydx=x−12\displaystyle \frac{dy}{dx} = \frac{x-1}{2}dxdy=2x−1
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.