joeyboyke joeyboyke
  • 02-07-2019
  • Mathematics
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Which function in vertex form is equivalent to fx = 4+x2-2x

Which function in vertex form is equivalent to fx 4x22x class=

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 02-07-2019

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

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