The function 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). select two answers: one extreme value and one interpretation

Exterme Value: .

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is .

We add and subtract the square of half the coefficient of x.

.

The first three terms form a perfect quadratic trinomial.

.

This function is now written in the form , where (h,k) is the extreme value(vertex).

The extreme value or the vertex is .

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).