Question

How wide is the hole at ground level on the drawing

Answer 1

It’s going by 2

Explanation:

If you go up it goes to negative and if you go down it goes to positive

Answer 2

8 feet

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:

`y=ax^2+bx+c`

For point (-2,-6)

`-6=4a-2b+c`

For point (0,-8)

`-8=c`

For point (2,-6)

`-6=4a+2b+c`

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:

`y=(1)/(2)x^2-8`

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

`(1)/(2)x^2-8=0`

`x=-4,4`

Distance between x-coordinate = 4-(-4) = 8

Hence, The wide of hole is 8 feet