Mathematics
16.03.2022 10:26
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Which rule describes the composition of transformations that maps pre- image ABCD

Which rule describes the composition of transformations that maps pre- image ABCD to final image A“B“C“D“?

ANSWER: B) T -6,1 ^ 0 r x-axis (x,y)
Which rule describes the composition of transformations that maps pre- image ABCD to final image A“B
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AmbitiousAndProud
AmbitiousAndProud
4,8(75 marks)

1. Reflection across the x-axis

2. Translation 6 units to the left and 1 unit up

Step-by-step explanation:

The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).

1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:

(x,y)\rightarrow (x,-y),

then

A(3,5)\rightarrow A'(3,-5)\\ \\B(6,5)\rightarrow B'(63,-5)\\ \\C(4,1)\rightarrow C'(4,-1)\\ \\D(1,1)\rightarrow D'(1,-1)

2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:

(x,y)\rightarrow (x-6,y+1),

then

A'(3,-5)\rightarrow A''(-3,-4)\\ \\B'(6,-5)\rightarrow B''(0,-4)\\ \\C'(4,-1)\rightarrow C''(-2,0)\\ \\D'(1,-1)\rightarrow D''(-5,0)

DroctorWellsfan
DroctorWellsfan
5,0(29 marks)
Pressure oscillating ten times every hour. So period n = 6 min. So the negative cos is represented in the graph and since it datrt at time 0, P = f(t) = Acos(Bt) + D Amplitude A = (Ph - Pl) / 2 = (280 - 40) / 2 = 240 / 2 = 120 Period B = 2xpi / 6 = pi /3 D = (Ph + Pl) / 2 = (280 + 40) / 2 = 320 / 2 = 160 Subtituting the equation we get f(t) = 120cos (pi x t ) / 3 + 160.

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