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Sketch the curve with the equation y=x^2 +4x+4, labelling the points where it crosses or touches the axes.

The curve is a quadratic equation because it has a x^2 - as it is positive it will be a u shaped parabola. The equation can be factorised by thinking of two numbers which add to make 4 (the b value) and mult...
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Answered by Sophia S. • Maths tutor
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Explaining how to solve simultaneous equations

Solving simultaneous allows us to determine the value of two variables from two equations. 2x+y = 133x+2y = 21 To find the value of the variables, our first step is to choose a variable and have equal number...
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Answered by Daniel C. • Maths tutor
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161/5 x 26x =

16 1/5 x 2 x =8 2/3 work out x
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Answered by Kristin T. • Maths tutor
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What is the difference between quotient rule, product rule and chain rule, and when to use them in differentiation?

Chain rule: when we have a function on its own raised to a certain power . eg: f(x)=(2x+3) 3 --> f'(x)=3*2(2x+3) 2 Product rule: when we have 2 functions or more multiplied by each other. eg: f(x)=g(x)*h(...
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Answered by Ren A. • Maths tutor
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Expand and simplify (x − 4)(2x + 3y)^2

First concentrate on expanding the squared term, don't try and do it all in your head, the 2x+3y term should expand to give 4 separate terms. Then combine any terms with the same configuration of x and y, in...
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Answered by Catherine M. • Maths tutor
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