Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. Give an example of a function that satisfies \(f(-1)=f(1)=0\) ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

Rewrite \(y = {x^2} - 6x + 11\) in the form \(y = a{(x - b)^2} + c\). In this case \(a = 1\) as the coefficient of \({x^2}\) is \(1\). To get the number inside the bracket, we half the coefficient of ...

Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. A particle moves along a line with a position function \(s(t)\) ...