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Find the vertex coordinates of parabola y = 2x^2 - 4x + 1

In this exercise I have to find the coordinates of the vertex of the parabola. Given the general equation y= ax^2 + bx + c , the value of a is 2, the value of b is -4 and the value of c is 1. In order to com...
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Answered by Martina B. • Maths tutor
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How to use the subjunctive after CREDERE (to believe)

The subjunctive in Italian is very difficult to use and many native speakers still have problems when constructive sentences. Usually it is used for subordinate clauses after verbs such as pensare (to think)...
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Answered by Martina B. • Italian tutor
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Characters and themes in Alcestis play

In this play, the three main characters represent three different virtues that a human being should have. First, Alcestis is the lovely wife, who accepts to die on behalf of and for her husband: with her cho...
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How to construct an indirect question

They are subordinate clauses which represent a question: for this reason, they are follow verbs such as quaero , rogo (= to ask) or scio (= to know). They may be introduced by an interrogative adjective/pron...
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Answered by Martina B. • Latin tutor
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The curve y = 2x^3 - ax^2 + 8x + 2 passes through the point B where x=4. Given that B is a stationary point of the curve, find the value of the constant a.

As B is a stationary point, the value of dy/dx at this point must be equal to 0. Differentiating y gives this to be dy/dx = 6x 2 -2ax+8. At point B , x=4 . This gives the relation 104=8a and thus gives a=13.
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Answered by Evan H. • Maths tutor
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