Answer:
The value of k is 5.
Step-by-step explanation:
Since we know we can convert function's quadratic form to vertex form by completing the square.
f(x)=x2?6x+14
We will add and subtract 9 to our equation in order to complete the square.

Upon completing the square and combining like terms we will get,

Upon comparing Willie's vertex form with our expression we can see that k is 5.
Therefore, the value of k is 5.
For #6 draw a triangle between the points and find the middle by drawing the lines to the middle. There should be triangles within the triangles which finding the hypotenuses should be the same.
I have a good record of guessing the right one so I would say #1.
Answer:
y = -3x +10 Step-by-step explanation:
y+2 = -3(x-4)
y+2 = (-3*x) + (-3*-4)
y+2 = -3x + 12
^ -2 = . ^ -2
y = -3x +10