The equation of a curve is y=2x2−20x+37y=2x2−20x+37.
- Express yy in the form a(x+b)2+c,a(x+b)2+c, where a,ba,b and cc are integers.
- Write down the coordinates of the stationary point on the curve.
A function ff is defined by f:x↦2x2−20x+37f:x↦2x2−20x+37 for x>kx>k. Given that the function f−1(x)f−1(x) exists,
- write down the least possible value of kk,
- sketch the graphs of y=f(x)y=f(x) and y=f−1(x)y=f−1(x) on the axes provided,
- obtain an expression for f−1f−1.