Search over 10,000 free study notes

Let f(x) = x 2 - 1 To apply a vertical translation, simply add the value to the overall equation. In this case it is positive and thus moves the graph up 3 units: f(x) = x 2 - 1 + 3 = x 2 + 2 To apply a hori...

Standard form is a way of writing really big numbers in what is often a more compact manner. It also makes a really large number more readable. To put a number in standard form we write it by having a number...

The derivative is calculated by multiplying by the degree of the variable then taking taking away 1 from the degree.So to calculate the derivative of x^2 we multiple the variable (which is x) by the degree o...

To solve simultaneous equations you need to cancel out variables like x and y one at a time to solve for the other. In the edexcel GCSE 2017 paper this question came up: solve simultaneously x 2 +y 2 =25 y-3...

The lock-and-key mechanism of enzyme activation involves the active site of the enzyme fitting perfectly with the substrate molecule and the subsequent reaction being catalysed biologically. However, the ind...