What is the quadratic formula?

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the discriminant in the quadratic formula?

$$b^2 - 4ac$$ ; it determines the nature of the roots.

What does it mean if the discriminant is positive?

There are two distinct real roots.

What does it mean if the discriminant is zero?

There is exactly one real root (a repeated root).

What does it mean if the discriminant is negative?

There are no real roots (the roots are complex).

How do you find the y-intercept of a quadratic equation?

Set $$x = 0$$ in the equation $$y = ax^2 + bx + c$$ .

What is the vertex form of a quadratic equation?

$$y = a(x - h)^2 + k$$ , where (h, k) is the vertex.

Quadratics Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

(-7, 3)

2.

FLASHCARD QUESTION

Front

Back

(x + 5)(x - 5)

3.

FLASHCARD QUESTION

Front

Back

(x + 3)(x - 3)

4.

FLASHCARD QUESTION

Front

Back

left 3, down 2

5.

FLASHCARD QUESTION

Front

Back

(-4, -6)

6.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

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