Question

Blue Bird's flight path can be modeled by the quadratic equation y=-x^2-2x+8. King Pig is located at (2, 0) and Chef Pig is located at (4, 0). Which pig would Blue Bird hit? Explain

Answer 1

Answer:

Blue Bird would hit King Pig

Explanation:

To determine which pig Blue Bird would hit, we need to substitute the x-coordinates of the pigs’ locations into the equation for Blue Bird’s flight path and see if we get y = 0. This is because the pigs are located at y = 0.

The equation for Blue Bird’s flight path is:

$y=-x^2-2x+8$

Let’s first substitute x = 2 (the x-coordinate of King Pig’s location):

$y=-(2)^{2} -2*(2)+8= -4-4+8=0$

So, when x = 2, y = 0. This means that Blue Bird’s flight path intersects King Pig’s location.

Now let’s substitute x = 4 (the x-coordinate of Chef Pig’s location):

$y=-(4)^2-2*(4)+8= -16-8+8=-16$

So, when x = 4, y = -16. This means that the Blue Bird’s flight path does not intersect Chef Pig’s location.