How can you find the roots of a quadratic equation?

Roots can be found using factoring, completing the square, or the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the discriminant of a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$D = b^2 - 4ac$$ . It determines the nature of the roots.

What does it mean if the discriminant is positive?

If the discriminant is positive, the quadratic equation has two distinct real roots.

What does it mean if the discriminant is zero?

If the discriminant is zero, the quadratic equation has exactly one real root, also known as a repeated or double root.

What does it mean if the discriminant is negative?

If the discriminant is negative, the quadratic equation has no real roots, but two complex roots.

What is the vertex form of a quadratic function?

The vertex form of a quadratic function is $$f(x) = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

How can you convert from standard form to vertex form?

To convert from standard form to vertex form, you can complete the square.

What is the significance of the coefficient 'a' in a quadratic function?

The coefficient 'a' determines the direction of the parabola (upward or downward) and affects the width of the parabola.

STAAR Algebra 1 Quadratics Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What does the graph of a quadratic function look like?

Back

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