A is the answer of not I’m sorry for that
<span>Given that Kate
is constructing an equilateral triangle and she has already used her
straightedge to construct a line segment AB.
What Kate should do for her next step is "</span><span>Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass".</span>
Answer:
D' (-4,-2)
E' (-1,2)
F' (2,-4)
Step-by-step explanation:
Notice that our function

is a parabola, and the vertex form of a parabola is:

where (h,k) are the coordinates of its vertex.
The first thing we need to do is find the vertex (h,k) and to do that we are going to use the vertex formula:

, and then we are going to evaluate our function at

to find

.
We know for our problem that

, and

, so lets replace those values in our vertex formula to find

:




Now, we are going to evaluate our function at -6 to find

:



Now that we have our vertex, where

and

; lets replace those values in our vertex form equation:
![f(x)=-5[x-(-6)]^{2} +(-1)](https://tex.z-dn.net/?f=f%28x%29%3D-5%5Bx-%28-6%29%5D%5E%7B2%7D%20%2B%28-1%29)

We can conclude that the vertex form of our function is

, and its vertex is (-6,-1).