Write the function in vertex form, and identify its vertex. g (x) = 5x2 - 50x + 128

Question

Parker Martinez

Mathematics

11 March, 05:34

Write the function in vertex form, and identify its vertex. g (x) = 5x2 - 50x + 128

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Gabrielle · Answer 1

Hello:

g (x) = 5x² - 50x + 128

= 5 (x²-10x + 128/5)

= 5 (x²-10x+5²-5² + 128/5)

= 5 ((x-5) ² + 128/5 - 125/5)

y = 5 ((x-5) ² - 3/5)

y = 5 (x-5) ² + 3 ... vertex form

the vertex is : (5,3)