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 ...

Find the equation of the line of symmetry and the coordinates of the turning point of the graph of \(y = x^2 – 6x + 4\) The coefficient of \(x^2\) is positive, so the graph will be a positive U ...

The gradient and intercept of the graph can be interpreted from the graphs ... The graph below shows the charges a hotel makes for parties in their function room. They can cater for up to 50 ...

From the graph, we can also see that the y-intercept is 6, therefore we can say that the equation of the straight line is \(y = mx + 6\). Now we need to find the gradient.

Instead of writing Function = multiply by 3 we can use algebra. Graphically, \(f(x) = x^2\) is the same as the graph of \(y = x^2\). Writing graphs as functions in the form of \(f(x)\) is useful ...