Find the y-intercept of the parabola y = x^2 − 2x − 1 — Algebra intercept calculation

Find the y-intercept of the parabola y = x^2 − 2x − 1 by evaluating the function at x = 0. Step-by-step solution shows substitution and gives the y-intercept as (0, -1).

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Solution:

The y-intercept is the point where the graph crosses the y-axis, which occurs when x = 0.

Substitute x = 0 into the equation y = x^2 − 2x − 1:

y = 0^2 − 2·0 − 1 = −1.

Therefore the y-intercept is the point (0, −1). The y-coordinate (as an integer) is −1.

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