What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ . It determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

What are consecutive odd integers?

Consecutive odd integers are integers that follow each other in the sequence of odd numbers, such as $$x$$ and $$x + 2$$ .

How do you determine the maximum height of a projectile?

The maximum height of a projectile can be found using the vertex of the quadratic function that models its height over time, which occurs at $$t = -\frac{b}{2a}$$ .

What is the axis of symmetry in a parabola?

The axis of symmetry of a parabola is a vertical line that divides the parabola into two mirror-image halves, given by the equation $$x = -\frac{b}{2a}$$ .

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

The leading coefficient (a) determines the direction in which the parabola opens and affects the width of the parabola. A larger absolute value of a makes the parabola narrower.

How can you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw a smooth curve through them.

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

The sum of the roots of a quadratic equation $$ax^2 + bx + c = 0$$ is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

Math 1 Quadratics Review for EOC Flashcards

Student preview

14 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

How do you factor a quadratic expression?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

4.

FLASHCARD QUESTION

Front

What does it mean for a parabola to open upwards?

Back

5.

FLASHCARD QUESTION

Front

What does it mean for a parabola to open downwards?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

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