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The points (0, -5) and (5, 0) lie on a curve y=x^2 + ax + b. Find the stationary points on the curve.

Firstly, let us try to calculate the values for a and b to obtain an equation for the curve. To do this we will substitute the coordinates we are given into y=x² + ax + b:Substituting in (0, -5...

Answered by Adam R. • Maths tutor

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How do I complete the square?

Completing the square is an algebraic method that can be used to solve a quadratic equation and find the coordinates of a turning point of a graph. Let's use x²+ 4x -5 = 0 are our example.Firs...

Answered by Holly P. • Maths tutor

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A (0,2) and B (6,5) are points on the straight line ABCD. AB=BC=CD. Work out the co-ordinates of D.

D= (18,11)

Answered by Arianna C. • Maths tutor

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Point A has coordinates (-1,3). Point B has coordinates (2,-3). Find the equation of the line L that goes through these two points. Point C has coordinates (0,1). Hence or otherwise, find the equation of the line perpendicular to L that goes through C.

First we use the equation gradient = (y1-y2)/(x1-x2) to find the gradient of the line L, using point A (-1,3) and point B (2,-3). This gives us gradient = (3-(-3)/(-1-2) = (3+3)/(-3) = -2. Now we subst...

Answered by Asa G. • Maths tutor

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Why doesn't (a+b)^2 = a^2+b^2

(a+b)² actually means (a+b)x(a+b) and so you have to solve this the long way unfortunately. You can use the grid method to do this [I would write this out on the whiteboard function at this poi...

Answered by Mai T. • Maths tutor

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