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

Minimum at (2,4)

Explanation:

Apex Verified,

I think the interpretation is straightforward from there.

Answer 2

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.