Learn an entire GCSE course for maths, English and science on the most comprehensive online learning platform. b) Now we have the scale factor, we can apply it to the corresponding length to AC which is DF. Hence, we find that, You should have seen some graph transformations before, such as translations and reflections – recall that reflections in the x-axis flip f(x) vertically and reflections in the y-axis flip f(x) horizontally. Here, we will also look at stretches. To do this, we’ll use a process called elimination– we’re going to eliminate one of the variables by subtracting one equation from the other. We will write one equation on top of the other and draw a line underneath, as with normal subtraction.

If we multiply the first equation by 2, we have two equations both with a 2y term, hence adding our new equation 1 and equation 2 we get, AQA A Level Physics practice papers and mark schemes. The best way to practise for your upcoming exams. The profit from every set is reinvested into making free content on MME, which benefits millions of learners across the country. a) To work out the scale factor, SF, we need to divide the given side-length on the bigger shape by the corresponding side of the smaller shape. Doing so, we get Learn an entire GCSE course for maths, English and science on the most comprehensive online learning Split the transformation up into 2 parts – firstly sketch y=3f(x) which is a stretch vertically by a scale factor of 3 (multiply the y-coordinates by 3:Therefore, to find the area of the smaller shape, we need to divide the area of the bigger shape by the area scale factor: 16. Doing so, we get A level maths revision cards and exam papers for the exam board of your choosing. MME is here to help you study from home with our revision cards and practice papers. The profit from every bundle is reinvested into making free content on MME, which benefits millions of learners across the country.

Then, to find x, we must multiply this value by the corresponding side-length of the smaller shape. So, we get The MME GCSE maths formula sheet covers all the essential equations you need to know for the exam. The profit from every formula sheet is reinvested into making free content on MME, which benefits millions of learners across the country. a) To work out the scale factor, SF, we need to divide the given side-length on the bigger shape by the corresponding side of the smaller shape. Doing so, we get, then there is a solution for us to find that works for both equations. These equations are called simultaneous for this reason.If we multiply the second equation by 2, we have two equations both with a 2x term, hence subtracting our new equation 2 from equation 1 we get, Now, to get the area of the bigger shape, we must multiply the area of the smaller one by this scale factor. Doing so, we get Firstly, we will determine the scale factor that relates the side-lengths, dividing the larger by the smaller