The solutions of ax^2 + bx + c = 0 are the

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

The solutions of ax^2 + bx + c = 0 are the

Explanation:
Solving a quadratic equation means finding the x-values that make the expression zero. Those x-values are exactly where the graph of y = ax^2 + bx + c crosses the x-axis, so they are the x-intercepts of the parabola. In other words, the solutions to ax^2 + bx + c = 0 are the x-coordinates of the points (x, 0) where the graph meets the x-axis. For context, the y-intercept occurs at x = 0, giving (0, c); the vertex is the parabola’s turning point; and the axis of symmetry is the vertical line x = -b/(2a).

Solving a quadratic equation means finding the x-values that make the expression zero. Those x-values are exactly where the graph of y = ax^2 + bx + c crosses the x-axis, so they are the x-intercepts of the parabola. In other words, the solutions to ax^2 + bx + c = 0 are the x-coordinates of the points (x, 0) where the graph meets the x-axis.

For context, the y-intercept occurs at x = 0, giving (0, c); the vertex is the parabola’s turning point; and the axis of symmetry is the vertical line x = -b/(2a).

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