The tangent As a tangent is a straight line it is described by an equation in the form y b = m (x a). You need both a point and the gradient to find its equation.

2. Consider a tangent of the curve \ (y=17-2x^2\) that goes through the point \ ( (3,1)\text {.}\) Provide a diagram of this situation. Can you draw two tangent lines? Find the slopes of those tangent ...

Find the equation of the line of symmetry and the coordinates of the turning point of the graph of y = x 2 6 x + 4 The coefficient of x 2 is positive, so the graph will be a positive U-shaped curve.