Question

The function y=x²-4x+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.
Height (feet)
Distance (feet)
A. When the bird is 4 feet away from the first fence post, it reaches its minimum height of 8 feet.
B. Minimum at (4,8)
C. When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet.
D. Minimum at (2,4)

Answer 1

When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet  , Minimum at (2,4)

Therefore Option C and D is the correct answer.

What is a Quadratic Function?

The equation for a quadratic function is given by

y = a(x-h)² +k²

where (h,k) is the extreme value(vertex).

Here the equation given is

y = x²-4x +8

y = x²-4x+4+4

y = (x-2)² +4

Here the value of a = 1 , h = 2 and k = 4

The extreme value is at (2,4)

Therefore When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet  , Minimum at (2,4)

Therefore Option C and D is the correct answer.

To know more about Quadratic Function

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