Graphs 2004.

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Presentation transcript:

Graphs 2004

Question One Use the grids alongside to draw the graphs of:

x = 6

x = 6

y =(x - 4)( x + 2)

y =(x - 4)( x + 2)

y =(x - 4)( x + 2)

y = 3x - 6

y = 3x - 6

Question Two Jim is organising the transport to the season’s games for his Touch team. He gets quotes from the Mighty Minibus Co and Various Vans for a minibus. Jim can use the graph below to work out the cost of a trip for each rental company.

How much does the Mighty Minibus Co charge per kilometre?

How much does the Mighty Minibus Co charge per kilometre? 50 70

Charges by Various Vans include a fixed fee for each trip Charges by Various Vans include a fixed fee for each trip. How much is this fixed fee?

Charges by Various Vans include a fixed fee for each trip Charges by Various Vans include a fixed fee for each trip. How much is this fixed fee? $30

For which length of trip do both companies charge the same?

For which length of trip do both companies charge the same? 50 km

Write the equation for the Various Vans graph.

Gradient is 4/5 = 0.8

Question Three Write the equations of the lines drawn on the grid below:

Question Four Use the grids alongside to draw the graphs of:

2y - 3x = 18

2y - 3x = 18

y = 2x2 + 8x

y = 2x(x + 4)

Question Five

How far away from Tere does the ball land?

Write values on the graph. -10 6

Distance from Tere is 16 m -10 6

What is the maximum height the ball reaches What is the maximum height the ball reaches? You should ﬁnd this as accurately as you can. -10 6

What is the maximum height the ball reaches What is the maximum height the ball reaches? You should ﬁnd this as accurately as you can. -10 6 -2

Can substitute in the equation: -10 6 -2

OR can find it using: -10 6 -2

What is the height of the ball when it crosses the half-way line? -10 6 -2

the half-way line means d = 0, -10 6 -2

Question 6 The Touch team is still warming up before the game. Lea is 11 metres from the half-way line. Lea passes the ball towards Jim and it travels as shown in the graph below. Jim is standing 7 metres from the half-way line on the opposite side to Lea. He can reach up a maximum height of 2.2 metres.

Will he be able to touch the ball as it goes over his head Will he be able to touch the ball as it goes over his head? You must use calculations to support your answer.

Equation

Equation When x = 12, y = 0

Equation When x = 12, y = 0

Equation

Equation

Equation When x = 7, h = 2.64 so Jim cannot reach the ball.