1. Graphs

2. Parabola
Y = x2

3. Parabolas
When you throw an object it falls in a parabolic curve

4. Y=√x

5. Y = x3

6. Y= 1/x

7. 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

8. 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

9. 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? F B E C D A
Time

10. 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

11. Question
What about this trough?

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