Question

You want to graph a parabola given by the equation y=−14x2+x−4 . Which table of ordered pairs would match this parabola?(1 point)

x y
2 -1
6 3
10 -1

x y
2 -3
0 -4
-2 -7

x y
0 -1
-4 -5
-8 -1

x y
2 -6
-6 -10
-10 -6

Answer 1

The second table.

If the equation is y = −(1/4)x^2 + x − 4, then
- for x = 2: y = −(1/4)(4) + 2 − 4 = −1 + 2 − 4 = −3
- for x = 0: y = −4
- for x = −2: y = −(1/4)(4) − 2 − 4 = −1 − 2 − 4 = −7

So the entries (2, −3), (0, −4), (−2, −7) match.