Which function in vertex form is equivalent to fx = 4+x2-2x
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Answer:
f(x) = (x-1)² + 3
Step-by-step explanation:
f(x) = 4+x²-2x or f(x) = x²- 2x + 4 -----> eq 1
consider the top-most choice
f(x) = (x-1)² + 3 = x² + 2·x·(-1) + 1² + 3
f(x) = x² - 2x+ 1 + 3
f(x) = x² - 2x+ 4 -----> compare this with eq 1 above (they match!)
hence f(x) = (x-1)² + 3 is the answer