Question

The table includes points on a quadratic function used to model the shape of a hole for one support beam at a new building site

distance from holes center in feet (x) : -2,0,2

depth from level ground in feet (y) :
-6,-8,-6

how deep is the hole?
2ft
4ft
8ft
16ft

Answer 1

Explanation:

16 feet

Answer 2

Option C.

Explanation:

Let x be the distance from holes center in feet and y be the depth from level ground in feet.

The given table represents a quadratic functions.

x : -2 0 2

y : -6 -8 -6

The depth from level ground in feet is same at x=-2 and x=2 it means the hole is symmetric about the line x=0.

The value of a quadratic function is on its extreme at line of symmetry.

In the given function the line of symmetry is x=0. So, the depth of the hole is defined on x=0.

From the table it is clear that at x=0 the depth from level ground is 8 feet.

Therefore, the correct option is C.