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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

Respuesta :

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


FalKirus

Answer:

Minimum at (2,4)

Step-by-step explanation:

Apex Verified,

I think the interpretation is straightforward from there.