Quadratic Equations and Parabolas

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Questions and Answers

What is the standard form of a quadratic equation?

$ax^2 + bx + c = 0$

What does the vertex of a parabola represent?

The highest or lowest point on the parabola.

If a parabola opens downwards, is the coefficient of its $x^2$ term positive or negative?

Negative.

What is the axis of symmetry of a parabola?

<p>A vertical line through the vertex of the parabola.</p> Signup and view all the answers

How do you find the roots (or x-intercepts) of a quadratic equation?

<p>By setting the quadratic equation equal to zero and solving for x.</p> Signup and view all the answers

Flashcards

What is a parabola?

A curve where any point is at an equal distance from both a fixed point (focus) and a fixed line (directrix).

What is the vertex of a parabola?

The highest or lowest point on a parabola. It's where the parabola changes direction.

What does substitute mean in math?

To put a known value into an equation to find the value of the unknown variable.

What is the x-intercept of a parabola?

The x-value where the parabola intersects the x-axis. At these points, y = 0.

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Quadratic Function

The general form is y = ax² + bx + c, where a, b, and c are constants.

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