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

Explanation:

2020edg

Answer 2

C

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(
`(1)/(2)`)x +
`(1)/(4)` -
`(1)/(4)` + 1

= (x +
`(1)/(2)`)² +
`(3)/(4)` → C