# Core 1 Formulae

### Description

Useful formulae for Core 1
Flashcards by Thomas Allaker, updated more than 1 year ago
 Created by Thomas Allaker almost 8 years ago
10
0

## Resource summary

 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^(n-1) 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[(x-q)^2 + r] What can the equation y = p[(x-q)^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

### Similar

HISTOGRAMS
CUMULATIVE FREQUENCY DIAGRAMS
GROUPED DATA FREQUENCY TABLES: MODAL CLASS AND ESTIMATE OF MEAN
Transforming Graphs
Maths M2 Formulae Test (OCR MEI)
TYPES OF DATA
FREQUENCY TABLES: MODE, MEDIAN AND MEAN
Using GoConqr to study Maths
STEM AND LEAF DIAGRAMS
Maths C4 Trig formulae (OCR MEI)
Geometry Theorems