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What is f(x) = x2 – 8x 11 written in vertex form? f(x) = (x – 4)2 – 5 f(x) = (x – 4)2 5 f(x) = (x 4)2 – 27 f(x) = (x 4)2 27?

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2 votes

Answer:

A.

f(x) = (x - 4)² - 5 is the vertex form

Explanation:

User Marcelo Rodovalho
by
8.5k points
2 votes

Answer:

f(x) = (x - 4)² - 5 is the vertex form

Explanation:

Given function is
f(x)=x^(2) -8x+11

we have to write this function in the vertex form

Vertex form of a parabola is written in the form of f(x) = a(x - h)²+ k

Now we can convert the original function in the vertex form

f(x) = x²- 8x + 11

f(x) = (x²- 8x + 16) - 5

f(x) = (x - 4)² - 5 [(a - b)² = a² + b²- 2ab]

f(x) = (x -4)² - 5 is the answer.

User Thane Brimhall
by
8.1k points

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