Parabola merit
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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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Vertex (3.5, give the coordinates of the vertex-6.25)


Vertex (-4, -36) give the coordinates of the vertex


Vertex (1, -36) give the coordinates of the vertex


Vertex (1.5 give the coordinates of the vertex, -2.25)


A is 0 6 or if the diagram is to scale 1 4
A is (0, -6) or if the diagram is give the coordinates of the vertexto scale (1, -4)


B 3 0
B (-3, 0) give the coordinates of the vertex


C 2 0
C give the coordinates of the vertex (2, 0)


D 0 5 0
D (-0.5, 0) give the coordinates of the vertex


E 0 5 6 25
E give the coordinates of the vertex (-0.5, -6.25)


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?



What is the stone s height after 2 5 seconds
What is the stone’s height after 2.5 seconds? stone is given by the equation



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)


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?


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.



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.


Where does the bottom of the drop occur
Where does the bottom of the drop occur? drop into a tunnel from a height of 45


The bottom of the drop is at 7 metres
The bottom of the drop is at 7 drop into a tunnel from a height of 45 metres.


How many metres does the roller coaster drop from top to bottom
How many drop into a tunnel from a height of 45 metres does the roller-coaster drop from top to bottom?


From 45 to 4 a height of 49 metres
From 45 to -4. A height of 49 drop into a tunnel from a height of 45 metres.


Write x 2 14x 45 in perfect square form
Write x drop into a tunnel from a height of 45 2 -14x + 45 in perfect square form.


Write x 2 14x 45 in perfect square form1
Write x drop into a tunnel from a height of 45 2 -14x + 45 in perfect square form.


Find the equation of the following parabolas
Find the equation of the following parabolas. drop into a tunnel from a height of 45


Don t forget the stretch
Don’t forget the stretch drop into a tunnel from a height of 45


Gyn drop into a tunnel from a height of 45 cannot reach the ball as he can only reach to a height of 2.7 m


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