Answer:
8 feet
Step-by-step explanation:
In the given table, given the three point of hole.
Distance from center (x) Depth from level of ground (y)
-2 -6
0 -8
2 -6
The equation of hole form parabolic.
(-2,-6) , (0,-8) and (2,-6)
parabolic equation:
[tex]y=ax^2+bx+c[/tex]
For point (-2,-6)
[tex]-6=4a-2b+c[/tex]
For point (0,-8)
[tex]-8=c[/tex]
For point (2,-6)
[tex]-6=4a+2b+c[/tex]
using the system of equation a, b and c. To solve for a, b and c
4a-2b = 2 and 4a+2b = 2
a=1/2 , b=0, c=-8
Equation:
[tex]y=\dfrac{1}{2}x^2-8[/tex]
We need to find wide of hole. Wide hole at ground level where y is 0
So, set y=0 and find distance between x-coordinate
[tex]\dfrac{1}{2}x^2-8=0[/tex]
[tex]x=-4,4[/tex]
Distance between x-coordinate = 4-(-4) = 8
Hence, The wide of hole is 8 feet
