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?
2 answers:
Answer:
f(x) = (x - 4)² - 5 is the vertex form
Step-by-step explanation:
Given function is
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.
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