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We can see from the term x^2 that this equation is quadratic. To solve it, we need to get it into the form ax^2 +bx +c = 0. Subtract 25 from both sides to reach this form:So we have the equation x^2 -5x -...

In this case the question has given you a clue as to the order that you solve the question. So, first we need to expand the brackets, multiplying each term by one another to get; y=8x^6 - 36x^4 + 6x^3 - 2...

Firstly, we need to differentiate the function of the curve y = x^3 + 2x^2 - 5. Using d/dx (x^n) = nx^(n - 1), we get dy/dx = 3x^2 + 4x. To find the gradient of this curve, we then need to evaluate dy/dx ...

Let f(x) = x²- 1To apply a vertical translation, simply add the value to the overall equation. In this case it is p...