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Investigating the Gradients of the Graph of the Form ‘y=x2’

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Introduction

Investigating the Gradients of the Graph of the Form 'y=x2' Aim To find a formula for the gradient of the graph 'y=x2'. To do this I will draw the graph and measure the gradient at certain whole numbers of 'x'. ...read more.

Middle

Then you form a right-angled triangle on the tangent and find the gradient as for the 'y=ax' graph. (As shown on graph) e.g. 9 9-4= 5 4 2 3-2= 1 3 gradient=y/x =5/1 GRADIENT=5 Results x y Gradient -3 -1 1 2 5 9 1 1 4 25 From these results I believe it is possible to deduce that the gradient of the curve at any point is equal to '2x'. ...read more.

Conclusion

Conclusions I belief that that the gradient function for a 'y=x2' graph is 2x. To test this theory I will try it with 1.5 as the value of 'x'. Results II x y Gradient 1.5 2.25 Conclusions II I can now conclude that the gradient function for a graph of the form 'y=x2' is 2x. G.F. = 2x ...read more.

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