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MakcuM [25]
1 year ago
5

Given that y = 6 + 4x-x^2express y in the form a.-(x + b)^2, where a and b are

Mathematics
1 answer:
Y_Kistochka [10]1 year ago
4 0

Answer:

6 + 4x − x² = 10 − (x − 2)²

the turning point : (2 , 10)

Step-by-step explanation:

6 + 4x − x² =  − x² + 4x + 6

                 = − (x² − 4x) + 6

                 = − (x² − 4x + 4 − 4) + 6

                 = − [(x − 2)² − 4] + 6

                 = − (x − 2)² + 4 + 6

                 = − (x − 2)² + 10

                 = 10 − (x − 2)²

Then the turning point of y is (2 , 10)

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