Formulae: Unit 19 0.0 / 5 MathematicsRatios and proportionsGCSEEdexcel Created by: annanolanCreated on: 03-01-17 13:11 What does ∝ mean? directly proportional to 1 of 21 what does y equal if it directly proportional to x? y=kx 2 of 21 What is k? A constant 3 of 21 what does y equal if it directly proportional to x²? y=kx² 4 of 21 what does y equal if it directly proportional to √x? y=k√x 5 of 21 what does y equal if it inversely proportional to x? y=k/x 6 of 21 What is y inversely proportional to? y∝1/x 7 of 21 What are exponential functions? Expressions of the form aˣ, where a is a positive number 8 of 21 What is the graph of exponential growth? . 9 of 21 What is the graph of exponential decay? . 10 of 21 What does the gradient of the line on a distance-time graph show? The speed 11 of 21 What is the straight line that connects two points on a curve called? a chord 12 of 21 What does the gradient of the chord show? The average rate of change which can be used to find the average speed on a distance-time graph 13 of 21 What does the area under a velocity-time graph show? The displacement or distance from the starting point 14 of 21 How do you estimate the area under a part of a curved graph? draw a chord between the two points you are interested in and straight lines down to the horizontal axis 15 of 21 How is the graph of y=f(x) transformed into y=f(x)+a translation by vector ( 0 over a) 16 of 21 How is the graph of y=f(x) transformed into y=f(x+a) translation by vector (-a over 0) 17 of 21 Describe the transformation from y=f(x) onto y=f(-x) a reflection in the y-axis 18 of 21 Describe the transformation from y=f(x) onto y=-f(x) a reflection in the x-axis 19 of 21 How is the graph of y=f(x) transformed into the graph of y=af(x) by a stretch of scale factor a parallel to the y-axis 20 of 21 How is the graph of y=f(x) transformed into the graph of y=f(ax) by a stretch of scale factor 1/a parallel to the x-axis 21 of 21

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