Question 1

Paper 1Easy6 marks

The upper edge of an entrance arch is modelled by y=−0.4(x−5)2+10y=-0.4(x-5)^2+10 where xx is the horizontal distance in metres from the left end of the arch and yy is the height in metres. The model is valid for 0≤x≤100\leq x\leq10

Use graphing technology for each part. Give coordinates in metres.

(a)

State the coordinates of the maximum point of the graph.

[2]
(b)

Determine the coordinates of the xx-intercepts of the graph.

[2]
(c)

A horizontal crossbar is placed at a height of 66 metres. Determine the coordinates where it meets the arch. Give your answers to two decimal places.

[2]

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