Maths Made Easy: Advanced, Ages 7-8 (Key Stage 2): Supports the National Curriculum, Maths Exercise Book (Made Easy Workbooks)

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When an equation has 2 variables its much harder to solve, however, if you have 2 equations both with 2 variables, like 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 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, AQA A Level Chemistry practice papers with mark schemes. A great way to practice for your exams. The profit from every set is reinvested into making free content on MME, which benefits millions of learners across the country. 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.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 There are 4 main types of graph transformation that we will cover. Each transformation has the same effect on all functions. If we multiply the first equation by 3, we have two equations both with a 3x term, hence subtracting our new equation 2 from equation 1 we get,

b) Now we have the scale factor, we can apply it to the corresponding length to BE which is BC. Hence, we find that,

begin{aligned} 2x Step 2: Now we must get the coefficients to match, in this case we can multiply the first equation by 2

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 need to find two corresponding dimensions. For the example below we will use lengths.Firstly, we will determine the scale factor that relates the side-lengths, dividing the larger by the smaller