What is the discriminant of a quadratic equation?

The discriminant is the expression $$b^2 - 4ac$$ that determines the nature of the roots of the quadratic equation.

How do you find the vertex of a parabola represented by a quadratic equation?

The vertex can be found using the formula $$(-b/(2a), f(-b/(2a)))$$ .

What is the vertex form of a quadratic equation?

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

What is the significance of the 'a' value in a quadratic equation?

The 'a' value determines the direction of the parabola: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

What is factoring in relation to quadratic equations?

Factoring is the process of expressing a quadratic equation as a product of its linear factors.

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ , used to find the roots of a quadratic equation.

What does it mean for a quadratic equation to have complex solutions?

A quadratic equation has complex solutions if the discriminant (b^2 - 4ac) is less than zero.

How can you determine the number of solutions for a quadratic equation?

You can determine the number of solutions by evaluating the discriminant: if it's positive, there are 2 solutions; if zero, 1 solution; if negative, no real solutions.

Algebra 2 | Unit 3 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the process to complete the square for a quadratic equation?

Back

To complete the square, take the coefficient of the x term (b), divide it by 2, and then square the result.

2.

FLASHCARD QUESTION

Front

Back

1

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

2

6.

FLASHCARD QUESTION

Front

What is the definition of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

What does it mean for a quadratic equation to have real solutions?

Back

A quadratic equation has real solutions if the discriminant (b^2 - 4ac) is greater than or equal to zero.

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