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Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

f(x) = (x+2)(x+2) When f(x) = 0, x = -2. f'(x) = 2x + 4 When f'(x) = 0, x = -2, and corresponds to the minimum point. Therefore, the sketch of the curve will be a U-shaped parabola which touches the x-axis a...
OD
Answered by Orlaith D. • Maths tutor
4283 Views

For regular verbs which have 'avoir' as their auxiliary verb, how would you form the perfect past tense? (for er, re and ir verbs)

Take the present tense of the auxiliary (avoir) Form the past participle for the verb by removing the ‘er’, ‘re’, and ‘ir’ and then… For: ‘ir’ verbs add ‘i’ ‘er’ verbs add ‘é’ ‘re’ verbs add ‘u’ Do, however,...
HG
Answered by Hester G. • French tutor
3300 Views

I know all the theory, but I can never score well with the essay questions in paper 2. Why?

As you've probably noticed, the mark scheme is incredibly specific about the terminology that you use. You could describe the process of, say, endocytosis, to great accuracy, but if you don't use the exact k...
AW
Answered by Amy W. • Biology tutor
5074 Views

Differentiate: 2(x^2+2)^3

This is a chain rule question. Unlike in ordinary differentiation we have more than just the single term 'x' with coefficient 1 raised to the power of something. e.g. x^3 Therefore, there is more steps. We c...
CA
Answered by Charlotte A. • Maths tutor
3593 Views

Sketch the graph of x^2+y^2-6x-4y=23

Firstly, to try and sketch this graph just going on the equation as it is above is a huge task for any maths student. The best way to approach this is to neaten it up with some algebra: -1: x^2+y^2-6x-4y can...
SA
Answered by Sam A. • Maths tutor
8765 Views