Question

You are asked to graph a parabola on a coordinate plane given the equation y=−1/8x2+3/4x+7/8
. Fill in the missing value on the table for the coordinates of the parabola.(1 point)
Complete the Table for the Given Parabola
x-value y-value
−1 0
3 2
0
11 −6

Answer 1

Set y = 0 and solve:
0 = −(1/8)x^2 + (3/4)x + 7/8
Multiply by 8: 0 = −x^2 + 6x + 7 → x^2 − 6x − 7 = 0
(x − 7)(x + 1) = 0 → x = 7 or x = −1.

The missing x-value (for y = 0) is 7.

Completed table:
- x = −1, y = 0
- x = 3, y = 2
- x = 7, y = 0
- x = 11, y = −6