Question

identify a root
options: (0,0), (-1,9), (0,-8), (-4,0)

Explanation:

Step1: Define root of a parabola

A root of a quadratic function (parabola) is an x-intercept, a point where $y=0$ (lies on the x-axis).

Step2: Analyze given points

Check which point has a y-coordinate of 0:

• $(0,0)$: $y=0$, but not on the parabola's x-intercepts shown.
• $(-1,9)$: $y=9≠0$, not a root.
• $(0,-8)$: $y=-8≠0$, not a root.
• $(-4,0)$: $y=0$, and matches the labeled x-intercept on the parabola.

Answer:

D. (-4,0)