- The sketch below shows the graphs of ƒ(x) = x2 - 2x - 3 and g(x) = x - 3A and B are the x-intercepts of ƒ.The graphs of ƒ and g intersect at C and B.D is the turning point of ƒ.
- The graphs of the functions f(x) = a(x + p)2 + q and g(x) = kx + r + d are sketched below. Both graphs cut the y-axis at -4 One of the points of intersection of the graphs in P(1; -8), which is also the turning point of ƒ. The horizontal asymptote of g is y = -2.
- The graphs of f(x) = -2x2 and g(x) = -ax2 + bx + c are sketched below.Points P and Q are the y-intercepts of f. Points Q and R are the x-intercepts of g. S is the turning point f g. T is the y-intercept of both f and g.
- Sketched below is the parabola f, with equation f(x) = -x2 + 4x -3 and a hyperbola g. with the equation (x-p)(y + t) = 3. B, the turning point of f, lies at the point of intersection of the asymptotes of g. A(-1;0) is the x-intercept of g.