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Parabola - Merit. Mahobe. Basics first. Movement in y direction. Movement in x direction. Reflection in x-axis. Stretch in y-direction e.g. height doubles. Stretch in x-direction e.g. width halves. Sketch . Sketch . Sketch . Sketch . Sketch . Sketch . Factored form of a quadratic.

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Presentation Transcript
slide16

Find the intercepts by putting x = 0 and y = 0

  • Y-intercept is (0, -15)
  • X-intercepts are (5, 0) and (-3, 0)
  • The line of symmetry is half way between these points at x = 1 and y = -16
slide17

Find the intercepts by putting x = 0 and y = 0

  • Y-intercept is (0, -15)
  • X-intercepts are (5, 0) and (-3, 0)
  • The line of symmetry is half way between these points at x = 1 and y = -16
a stone is fired from a catapult the height gained by the stone is given by the equation
A stone is fired from a catapult. The height gained by the stone is given by the equation
  • h= height of the stone
  • t = time in seconds
  • At what times is the stone at a height of 25 metres?
slide51

Owen and Becks are playing football. Owen receives a pass and quickly kicks the ball towards Becks. The graph below shows the path of the ball as it travels from Owen to Becks. The graph has the equation

the graphs of y x and y x x 2 are shown write down the co ordinates of a and b1
The graphs of y = -x and y = x(x + 2) are shown. Write down the co-ordinates of A and B.

A(-3, 3)

B(-2, 0)

slide58

Michael throws a cricket ball. The height of the ball follows the equation: h = 20x – 4x2 where h is the height in metres that the ball reaches and x is the time in seconds that the ball is in the air.

Describe what happens to the ball: What is the greatest height? How long is it in the air?

slide59

Michael throws a cricket ball. The height of the ball follows the equation: h = 20x – 4x2 where h is the height in metres that the ball reaches and x is the time in seconds that the ball is in the air.

Maximum height is 25 metres and the ball is in the air for 5 seconds.

slide62

A theme park roller-coaster ride includes a parabolic shaped drop into a tunnel from a height of 45 metres. This drop can be modelled by y = x2 – 14x +45. Draw the graph.

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