Find the vertex of f(x)=x^2+2x+3 (make sure you show your work)

ANSWER

(-1,2)

EXPLANATION

The given quadratic expression is:

The coefficient of the quadratic term is already 1.

So we add and subtract the square of half the coefficient of x.

We factor the first three terms to obtain

This is now in the form:

where (h,k) which is equal to (-1,2) is the vertex.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves