Which function in vertex form is equivalent to fx = 4+x2-2x

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

the answer is 24

step-by-step explanation: