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For the equation x^2 - 2x - 8 = y find: (a) The roots. (b) The y-intercept. (c) The coordinate of the turning point

(a) Several methods to do this, simplest would be to factorise the quadratic into (x - 4)(x + 2) = 0 and from here see that root occur at x = 4 and x = -2.(b) Substitute x = 0 into the equation 0^2 - 2

Answered by Benjamin C. • Maths tutor

4845 Views

How can I make the cadence of my Bach chorale more sophisticated?

Let's start with a simple harmonisation of the end of a soprano melody - see figure 1 on the whiteboard. The melody is A B B C and the respective chords I have chosen are IV V V I. We therefore currently ...

Answered by Eleanor H. • Music tutor

3956 Views

(Referring to a set text e.g. Herodotus Bk. 2) Is Herodotus truly the 'Father of History', or is he the 'Father of Lies'? Use examples from the set text you have studied or other material outside this.

It is important to realise that Herodotus is unique in his approach to History. The word 'history' literally means 'enquiry', coming from the Greek 'ἱστορια', and all Herodotus does is therefore enquiring...

Answered by Darius M. • Classical Greek tutor

1244 Views

'Women are deceptive and should not be trusted in the Odyssey.' How far do you agree?

Helen, the wife of Menelaus, is one of the most untrustworthy women in the Odyssey because she leaves her husband Menelaus for the Trojan prince Paris. Furthermore, having deserted her husband, she tries ...

Answered by Darius M. • Classical Civilisation tutor

3095 Views

What is the Phillips curve?

The Phillips curve, derived by William Phillips in the 1950s, describes the relationship between unemployment and inflation. By plotting annual figures against each other, an inverse relationship was seen...

Answered by Neal S. • Economics tutor

2318 Views