Complete the flow proof

The two column proof is presented as follows;

Statement                           Reason

1. ∠V ≅ ∠Y                          Given

2. bisects ∠VWY         Given

3. ∠VWZ = ∠YWZ               Definition of bisection of angle

4. ≅                       Reflexive property

5. ΔWVZ ≅ ΔWYZ              Angle-Angle-Side congruency postulate

6. ≅                        CPCTC postulate

Step-by-step explanation:

The two column proof is presented as follows;

Statement                           Reason

1. ∠V ≅ ∠Y                          Given

2. bisects ∠VWY         Given

3. Given that ∠VWY is bisected by , therefore ∠VWY is split into two equal angles, ∠VWZ and ∠YWZ, from which we have ∠VWZ = ∠YWZ             by the definition of bisection of angle ∠WXY by

4. By reflexive property, a line is congruent to itself, therefore, ≅  

5. Given that two adjacent angles and a side adjacent to the two angles in ΔWVZ are congruent to the corresponding two adjacent angles and adjacent side in ΔWYZ,  ΔWVZ is congruent to ΔWYZ by the Angle-Angle-Side (AAS) congruency postulate

6. Given that ΔWVZ ≅ ΔWYZ, and side of ΔWVZ is the corresponding side to side of ΔWYZ, therefore, is congruent to by the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this