What does a zero discriminant indicate?

One real root (the roots are the same).

What does a negative discriminant indicate?

No real roots (the roots are complex).

How do you find the x-intercepts of a quadratic function?

Set $$y = 0$$ and solve for $$x$$ .

What is the axis of symmetry in a quadratic function?

The line $$x = -\frac{b}{2a}$$ .

What is the relationship between the coefficients and the roots of a quadratic equation?

The sum of the roots is $$-\frac{b}{a}$$ and the product is $$\frac{c}{a}$$ .

What is the process of completing the square?

Rewriting a quadratic in the form $$y = a(x - h)^2 + k$$ to find the vertex.

algebra 2 review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the factored form of the trinomial $x^2 - 8x + 15$ ?

Back

(x - 5)(x - 3)

2.

FLASHCARD QUESTION

Front

What is the factored form of the trinomial $x^2 + 8x + 15$ ?

Back

(x + 3)(x + 5)

3.

FLASHCARD QUESTION

Front

What does it mean if a quadratic function has a maximum?

Back

The graph opens downwards and the vertex is the highest point.

4.

FLASHCARD QUESTION

Front

What does it mean if a quadratic function has a minimum?

Back

The graph opens upwards and the vertex is the lowest point.

5.

FLASHCARD QUESTION

Front

How do you solve the equation $x^2 - 8x + 15 = 0$ by factoring?

Back

Set the equation to zero, factor to get (x - 5)(x - 3) = 0, then x = 5 or x = 3.

6.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

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

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

The standard form is $y = ax^2 + bx + c$ .

8.

FLASHCARD QUESTION

Front

What is the discriminant and how is it used?

Back

The discriminant is $b^2 - 4ac$ ; it determines the nature of the roots of a quadratic equation.

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