Graphs

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Graphs
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Parabola

• Y x2

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Parabolas

• When you throw an object it falls in a parabolic
  curve

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Yvx
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Y x3
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Y 1/x
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Sketching Graphs

• When sketching graphs you do not need a scale on
  your axis
• E.g. a large plane cruises at 350 mph and a
  smaller plane cruises at 230 mph

Which line is the large plane? The black line
Distance
Time
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Gradient Of A Curve

• The gradient of a straight line stays the same
• The gradient of a curve changes

This graph shows a car accelerating until it gets
to point d Where is the car accelerating
fastest? A
d
Distance
c
b
a
Time
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Sketch Graphs
Distance
What is happening in this graph at A? Moving
forwards B? Not moving C? Moving
backwards D? Staying still E? Accelerating F? Not
moving
F
B
E
C
D
A
Time
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Graphs for objects

• I can sketch a graph to show how the water fills
  this trough

Height
It fills quickly at the bottom, but slowly at the
top
Time
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Question

• What about this trough?

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Answers
It fills slowly at first and then more quickly
Height
Time