Question

How wide is the hole at ground level on the drawing

Answer 1

Answer:

It’s going by 2

Step-by-step explanation:

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

Answer 2

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:

$y=ax^2+bx+c$

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:

$y=\dfrac{1}{2}x^2-8$

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

$\dfrac{1}{2}x^2-8=0$

$x=-4,4$

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

Hence, The wide of hole is 8 feet