What is the domain of a quadratic function?

The domain of a quadratic function is all real numbers, expressed as $$(-\infty, \infty)$$ .

What is the range of a quadratic function?

The range of a quadratic function depends on the direction of the parabola: if it opens upwards (a > 0), the range is $$[k, \infty)$$ ; if it opens downwards (a

How do you solve a quadratic equation by factoring?

To solve a quadratic equation by factoring, express it in the form $$ax^2 + bx + c = 0$$ , factor it into the form $$(px + q)(rx + s) = 0$$ , and then set each factor to zero to find the solutions.

What is the area of a rectangle?

The area of a rectangle is calculated by multiplying its length and width, given by the formula $$A = l \times w$$ .

If the length of a rectangle is 5 feet more than its width, how can you express this relationship algebraically?

If the width is w, then the length can be expressed as $$l = w + 5$$ .

What is the significance of the vertex in a real-world context?

In real-world applications, the vertex of a quadratic function often represents the maximum or minimum value, such as the highest point of a projectile's path or the lowest cost in a profit function.

How do you find the height of a projectile at a given time using a quadratic equation?

The height of a projectile can be modeled by a quadratic equation of the form $$y = -16x^2 + v_0x + h_0$$ , where v_0 is the initial velocity and h_0 is the initial height.

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

The roots of a quadratic equation correspond to the x-intercepts of its graph. The graph intersects the x-axis at the points where the quadratic equals zero.

Algebra 1 Module 10 Practice Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

4.

FLASHCARD QUESTION

Front

How do you determine the vertex of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

How do you find the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function occurs at the vertex, which can be found using the vertex formula. If a > 0, the vertex is a minimum; if a < 0, it is a maximum.

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