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I need help with this question as i do not understand it can you explain and show your work? thank you Convert each function to

I need help with this question as i do not understand it can you explain and show your work? thank you

Convert each function to vertex form algebraically, and verify your answer, a) f(x) = -4x2 + 16x b) f(x) = 20x2 400x - 243 c) f(x) = -x2 - 42x + 500 d) f(x) = -7x2 + 182x - 70

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