Malik randomly picked two numbers from 1 to 9 (Includin 1 and 9). the same number could be picked more than once. The first of t
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Answer:
Option C. The flight of the bird is symmetric about the line x = 2 feet, which indicates that the bird is at the same height when it is horizontally 1 foot and 3 feet away from where it began its flight
Step-by-step explanation:
<u><em>The correct function is</em></u>
we have
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The equation of the axis of symmetry is equal to the x-coordinate of the vertex
so
Convert the quadratic equation in vertex form
Factor the leading coefficient 1/2
Complete the square
Rewrite as perfect squares
The vertex is the point (2,18)
The x-coordinate of the vertex is 2
therefore
The equation of the axis of symmetry is x=2
so
The flight of the bird is symmetric about the line x = 2 feet, which indicates that the bird is at the same height when it is horizontally 1 foot and 3 feet away from where it began its flight
<u><em>Verify</em></u>
For x=1
For x=3