Created by Thomas Allaker
almost 8 years ago


Question  Answer 
If ax^2 + bx + c = 0, what is the quadratic formula which will find all answers of x?  
When differentiating, what is the derivative of the function x^n?  nx^(n1) 
When integrating, what is the integral of the function x^n?  (x^(n + 1))/(n + 1) + c 
What is the formula for completing the square?  x^2 + bx = (x + b/2)^2  (b/2)^2 
What is the discriminant?  b^2  4ac 
In what form can a quadratic equation be written by completing the square?  y = p[(xq)^2 + r] 
What can the equation y = p[(xq)^2 + r] tell us about a graph of y = ax^2 + bx + c?  Turning point = (q, pr) Axis of symmetry = q It's the graph of y = x^2 translated q places horizontally and r places vertically 
How do you rationalise n/x where x is an irrational denominator?  n/x * y/y where y = x with all signs reversed 
How do numbers in the brackets of a function and outside the brackets of a function translate the curve f(x)?  Numbers inside the bracket do the opposite of their sign horizontally, whereas numbers outside do as their sign suggests, vertically 
How do you find the gradient of a line passing through a point with a given gradient?  y  y1 = m(x  x1) where y1 and x1 are the coordinates of the point 
How do you calculate the distance between two given points?  Sqrt((x2  x1)^2 + (y2  y1)^2) where x1 and y1 are the coordinates of point 1 and x2 and y2 are the coordinates of point 2 
How do you find the midpoint of two given points?  ((x1 + x2)/2, (y1 + y2)/2) where x1 and y1 are the coordinates of point 1 and x2 and y2 are the coordinates of point 2 
What is the formula for the nth term in an arithmetic progression?  Un = a + (n  1)d 
What are the two equations for the sum of an arithmetic sequence?  Sn = n/2 * [2a + (n  1)d] Sn = n/2 * [a + L] 
What property of a curve does differentiating find?  The gradient of the tangent to the curve 
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