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Graphs
- Algebraic graphs
- y=mx+c
- m is gradient
- c is y intercept
- m is gradient
- 1. Make a table for
x and y
- 2. Plot onto graph
- To find equation from graph
- 1. pick 2 points on line
- formula(s)
- gradient = difference in
y value / difference in x
value
- gradient = distance up
triangle / distance
across triangle
- gradient = difference in
y value / difference in x
value
- formula(s)
- 2. Put m and c into y=mx+c
- 1. pick 2 points on line
- Quadratic graphs
- Always parabolas
- Can be written y = ax2+bx+c
- Always parabolas
- Cubic and reciprocal graphs
- y = ax^3+bx^2+cx+d
- Where x is the
bottom of the fraction
- y = ax^3+bx^2+cx+d
- y=mx+c
- Real life graphs
- Distance / time graphs
- Distance on y axis
- Gradient represents speed
- Horizontal = stopped
- Sloping up = Going away
- Sloping down = Coming back
- Steeper the line, faster the speed
- Horizontal = stopped
- Speed / time graphs
- Time is always
plotted on the x axis
- Gradient represents acceleration
- Horizontal = Constant speed
- Sloping up = Accelerating
- Sloping down = Slowing down
- Steeper the line, quicker the acceleration
- Horizontal = Constant speed
- Time is always
plotted on the x axis
- Distance / time graphs
- Representing data
- Bar charts
- Line graphs
- Frequency polygons
- Cumulative frequency graphs
- Scatter diagrams
- Bar charts
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