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Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 2x - 3

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Answer to a math question Determine the coordinates of the x-intercepts and the y-intercepts of the parabola y = x^2 - 2x - 3

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Adonis
4.4
95 Answers
1. To find the x-intercepts, we set y = 0 and solve the equation:
0 = x^2 - 2x - 3

2. Factor the quadratic equation:
(x - 3)(x + 1) = 0

3. Solve for x:
x = 3
x = -1

4. The x-intercepts are (3, 0) and (-1, 0).

5. To find the y-intercept, set x = 0:
y = 0^2 - 2(0) - 3
y = -3

6. The y-intercept is (0, -3).

Answer: The coordinates of the x-intercepts are (3, 0) and (-1, 0). The coordinate of the y-intercept is (0, -3).

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