Question

the function of y= x^2 - 4x + 8 approximates the height y, of a bird and its horizontal distance, x as it flies from one fence post to another all distances are in feet complete the square to find and interpret the extreme value vertex

Answer 1

Rewrite the given equation as 
$y=x^2-4x+8=x^2-4x+4+4=(x-2)^2+4$.
Since $(x-2)^2\ge 0$, you can conclude that the imimum value of y will be gained for the minimum value of $(x-2)^2$. The minimum value of $(x-2)^2$ is 0 for x=2. 
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.

Answer 2

Answer:

Minimum at (2,4)

Step-by-step explanation:

Apex Verified,

I think the interpretation is straightforward from there.