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Complete the square to rewrite the function f(x)=3x2–12x+5 in the form f(x)=a(x–h)2+k.f(x)= 3(x - 2)² - 7.Complete the sentence below.The function f(x) has a minimum value of , which occurs when x=.

Question

Complete the square to rewrite the function f(x)=3x2–12x+5 in the form f(x)=a(x–h)2+k.f(x)= 3(x - 2)² - 7.Complete the sentence below.The function f(x) has a minimum value of , which occurs when x=.

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Solution

The function f(x) has a minimum value of -7, which occurs when x=2.

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Write a quadratic function h whose only zero is 7.

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