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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 or...

x²+6x-2 = 0

We use completing the square when the equation cannot be factorised. Begin by placing x²  in the brackets and halving the number in front of the x...

y is proportion to 1/x². This can be written as y=k/x² where k is a constant of proportionality. Given that y=10 when x=5, k can...

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 = 6x²-2ax+8. At point B, <...