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Using answer to previous question state the coordinates of the minimum

From previous question y=2(x+2) 2 -1Minimum would be when (x+2) 2 is at it's smallest value, in this case when (x+2)=0 since any other value squared would be greater than 0. This occurs when x=-2, and y at t...
MC
Answered by Matilda C. • Maths tutor
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Express 2x^2 +8x +7 in the form A(x+B)^2 + C, where A, B and C are constants

2x 2 +8x+7=2(x 2 +4)+7=2((x+2) 2 -4)+7=2(x+2) 2 -8+7=2(x+2) 2 -1 A=2, B=2, C=-1
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Answered by Matilda C. • Maths tutor
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How do you find the stationary points of a graph?

Start by drawing an example graph which contains stationary points, use this to explain what a stationary point is. Explain how we could manipulate the graph to identify these points (explaining differentiat...
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Answered by Harrison L. • Maths tutor
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How do you sketch the graph of a function?

To sketch a graph, you can follow the steps below, spiking some of them if not needed or not applicable:0 Clean up the function (makes following steps easier).1 Determine the maximum domain of definition of ...
TD
Answered by Tudor D. • Maths tutor
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Differentiate: f(x)=2(sin(2x))^2 with respect to x, and evaluate as a single trigonometric function.

f(x) = 2sin 2 (2x)Therefore, using the chain rule: f'(x)=2 x 2cos(2x) x 2sin(2x)(The 2 at the front arises from the constant 2, at the start of f(x), the 2cos(2x) comes from differentiating sin 2 (2x), then ...
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Answered by Sam H. • Maths tutor
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