Question 1 (multiple choice) Emanuel looked at the preimage of function P()+3)2

Question

Question 1 (multiple choice) Emanuel looked at the preimage of function P()+3)2 -8, the parabola passing through points (-3, -8). (-4, -7), and (-2,-7), and a transformation of the function graphed as the image, I ( ( 6)2, which passes through points (-6,0). (-7,1), and (-5, 1) He wrote the mapping statement P (x) P (z + 3)-8 to describe the transformation. 8 6 4 84 224 6 8 6 P(a) 81 2016 FlipSwitch. Created using GeoGebra Did Emanuel write the correct mapping statement? No, he should have written the mapping statement P()P(+3)+8. O No, he should have written the mapping statement P() P(- 8) +3. O Yes, because subtracting 8 outside the argument moves it 8 units to the right. Yes, because adding 3 inside the argument moves it up 3 units

Explanation / Answer

From the figure,

It is clear that the graph is shifted to the left by 3 units a long said

So x-->>(x+3)

The graph is shifted upwards by 8 units

Hence the mapping statement is

P(x)= P(x+3)+8

Option (1)

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