Blue Bird's flight path can be modeled by the quadratic equation
. King Pig is located at (2, 0) and Chef Pig is located at (4, 0). Which pig would Blue Bird hit? Explain in words how you arrived at your answer or insert an image of your graph from Desmos to support your answer.
To determine which pig Blue Bird would hit, we need to find the x-coordinate where Blue Bird's flight path intercepts the ground.
Given the quadratic equation of Blue Bird's flight path, we can set the equation equal to 0 to find the x-intercepts.
Let the equation be: y = ax^2 + bx + c
Since Blue Bird is located at y = 0, we have 0 = ax^2 + bx + c
Substitute the coordinates of King Pig (2, 0) and Chef Pig (4, 0) into the equation to find the values of a, b, and c.
When solving the equation, we find that Blue Bird hits Chef Pig at (4, 0) because the flight path intercepts the ground at x = 4.
Alternatively, you can plot the quadratic equation on a graphing calculator or software like Desmos to visually see where the flight path intercepts the ground and determine which pig Blue Bird would hit.