# Finding a Vertex and Vertex Form and Dividing Complex Numbers

1. Find the vertex form of the quadratic function g(T)=2T^2-4T+5 and determine the coordinates of this functions vertex

vertex form_______________

the vertex______________

2. Solve problem following equations algebraically showing all work and steps and solutions

-2X^4+6X^2-4=0

X=__________________

3. Showing all work

(-5+12i) divided by (3+4i)=_____________________

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#### Solution Preview

Hi, here is the solution...

g(T)=2T^2-4T+5

2t^2 -4t +5 = g(t)

Here, we have to make the above function in the form of y = (x-h)^2 +k

Where, (h,k) is the vertex.

For that, add 1 and subtract 1, we get

2t^2-4t+5+1-1= f(t)

2t^2-4t+1+5-1=f(t)

(2t-1)^2 +4 = ...

#### Solution Summary

This solution provides assistance with finding a vertex and vertex form, and dividing complex numbers. The solution is detailed and well presented.