Question

Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5

Answer 1

Answer:

3rd option is correct

Step-by-step explanation:

:)

Answer 2

The vertex form of the equation is $f(x) = (x+1/2)^2 + 3/4$

Vertex form of an equation

Given the expression $f(x) = x^2 + x +1$

The vertex form is expressed as shown below:

$f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0$

Express the result in vertex form.

$f(x) = (x+1/2)^2 + 3/4$

Hence the vertex form of the equation is $f(x) = (x+1/2)^2 + 3/4$

Learn more on vertex form here: https://brainly.com/question/525947