Question

Which function in vertex form is equivalent to f(x) = x2 + x +1?

f(x)=(x + 1/4)2 +3/4
f(x) = (x + 1/4) +5/4
fx) = (x + 1/2)2+3/4
7x)=(x + 1/2)2+5/4

Answer 1

Answer:

C

Step-by-step explanation:

Given

f(x) = x² + x + 1

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + x

x² + 2($\frac{1}{2}$)x + $\frac{1}{4}$ - $\frac{1}{4}$ + 1

= (x + $\frac{1}{2}$)² + $\frac{3}{4}$ → C

Answer 2

Answer: C

Step-by-step explanation:

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