Graph Topics revision Thread 17 - MATHS

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GCSE Maths (Graphs) Karteikarten am Graph Topics revision Thread 17 - MATHS, erstellt von Mikko Holden am 10/10/2017.
Mikko Holden
Karteikarten von Mikko Holden, aktualisiert more than 1 year ago
Mikko Holden
Erstellt von Mikko Holden vor etwa 7 Jahre
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Zusammenfassung der Ressource

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Equation of a Line (parallel) Parallel lines have the same gradient. y-y1 =m(x-x1) OR- Substitute the gradient and co-ordinates into the equation to find the y-intercept.
Equation of a line (perpendicular) The gradients are the negative reciprocal of the other line. m1 * m2 = -1 Substitute the gradient and co-ordinates into the equation to find the y-intercept if you need to.
Graph of 1/x Plot a table of points. This will help to draw it. Never reaches (0,0). Draw the graph according to your points. Also known as a reciprocal graph.
Exponential Graphs Plot a table of points. This will help to draw it. e.g. y=3^x is an exponential graph. Draw the graph according to your points.
Velocity Time Graphs Gradient of the line = acceleration The total area of the graph = total distance If you don't know the equation of a trapezium (area), split into triangles and squares to find the area. If curved - draw a tangent and find the gradient of it. Also, split the graph into triangles and rectangles to find the area.
Inequality Graphs and regions Draw the line as if it was a y=mx+c line. If it is greater than or equal to, or less than or equal to - draw it with a solid line. If it is > or < - draw it with a dotted line e.g. - - - - - Shade the region that is instructed - e.g. 2 and lower would be x<2
Circle equations centre=origin radius = x^2 + y^2 = r^2 sqrt r^2
Trigonometry Graphs (sine) sin (x) = 0° = 0 90° = 1 180° = 0 270° = 1 360° = 0 etc.
Trigonometry Graphs (cosine) cos (x) = 0° = 1 90° = 0 180° = -1 270° = 0 360° = 1 etc.
Triganomic graphs (tan) Tan (x) = 0° = 0 90° = N/A 180° = 0 270° = N/A 360° = 0
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