3 Graph Transformations Two parabolic arches are being built. The first arch can be modelled by the function, y = -x² +9, with a range of 0

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3 Graph Transformations
Two parabolic arches are being builit. The first arch can be modelled by the function, y = -x² + 9, with
a range of 0 <y <9. The second arch must span twice the horizontal distance and be translated 6
units to the left and 3 units down.
a) Sketch the graph of both arches
bj Determine the equation of the second arch and the general mapping that goes with it.
Transcribed Image Text:3 Graph Transformations Two parabolic arches are being builit. The first arch can be modelled by the function, y = -x² + 9, with a range of 0 <y <9. The second arch must span twice the horizontal distance and be translated 6 units to the left and 3 units down. a) Sketch the graph of both arches bj Determine the equation of the second arch and the general mapping that goes with it.
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