Multiple choice

The roots of the quadratic equation $x^2-2x-3=0$ are $-1$ and $3$. The graph of $x^2-2x-3$ will pass through which of the following points.

  1. $(2,0) and (3,0)$
  2. $(-1,0) and (3,0)$
  3. $(0,0) and (1,0)$

  4. None of the above.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The roots of a quadratic equation are the x-values where the graph intersects the x-axis, meaning the y-coordinate is 0. Since the roots are -1 and 3, the graph must pass through the points (-1, 0) and (3, 0).

AI explanation

The roots of a quadratic equation represent the x-intercepts where the graph of the function crosses the x-axis, which corresponds to the points where y equals 0. Since the given roots of the equation x^2 - 2x - 3 = 0 are -1 and 3, the graph passes through the corresponding x-intercepts. These intercepts are the coordinate points (-1, 0) and (3, 0).

Keep practicing — related questions