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.

sorry i need the points

step-by-step explanation:

biuuyb i\

uygybg bsyvyuenrs

ufir7gyuuf6

y6fy

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.