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There is always a systematic approach to answering questions that require you to complete the square. Before you start answering the question make sure the coefficient of x^2 is 1. For th...

First complete the square on the curve in the answer to obtain y=(x+2)² - 5 Now if you were to call your original equation y=f(x) you could see that the new equation is simply y=f(x+2) - 5This ...

Here we need to use the product rule in order to differentiate as we have two functions involved that are being multiplied together. Therefore we use the formula:dy/dx = u dv/dx + v du/dxFirst let u=(x^2 ...

This question requires 2 logical steps. The first is to calculate how many balls Tom and Amy have after the transaction. The second is to use a formula to calculate the percentage of balls left . Reading ...

x² +6x +11this is a quadratic so we try to factorise it. x² +6x can be turned into (x+3)² -9 and we plus the 11 from the beginning so the final answer should look like (x+...