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
Hole’s
Center
in Feet
(x)
Depth from
Level
Ground
in Feet
(y)
−2
−6
0
−8
2
−6
How deep is the hole at ground level?
2 feet
4 feet
8 feet
16 feet

Answer 1

Answer:

Step-by-step explanation:

x              y

-2            -6

0             -8

2             -6

let say y = ax² + bx + c

for  x= 0

y(0) = a(0)² + b(0) +c = -8

=> c = -8

y = ax² + bx - 8

y(-2) = 4a - 2b - 8 = -6

y(2) = 4a + 2b - 8 = -6

Equating both

4a - 2b - 8 = 4a + 2b - 8

4b = 0

=> b = 0

4a  + 2(0) - 8 = -6

=> 4a = 2

=> a = 2/4

=> a = 1/2

y = (1/2)x²  + 0(x)  - 8

y = (x ² - 16)/2

at ground level Depth = 0

y = 0 =>  (x ² - 16)/2 = 0

x = ± 4

4 feet is hole's center

Answer 2

Answer:

93

Step-by-step explanation:

because i said so