Alg 2 Quadratic Applications

Alg 2 Quadratic Applications

Assessment

Flashcard

Mathematics

8th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

2.

FLASHCARD QUESTION

Front

How do you find the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form can be found using the formula x = -b/(2a). The y-coordinate can be found by substituting x back into the function.

3.

FLASHCARD QUESTION

Front

What does the x-intercept represent in a quadratic function?

Back

The x-intercept represents the points where the graph of the quadratic function crosses the x-axis, indicating the values of x for which the function equals zero.

4.

FLASHCARD QUESTION

Front

What is the significance of the y-coordinate of the vertex in a quadratic function?

Back

The y-coordinate of the vertex represents the maximum or minimum value of the quadratic function, depending on the direction of the parabola.

5.

FLASHCARD QUESTION

Front

How can you determine the maximum height of an object modeled by a quadratic equation?

Back

To determine the maximum height, find the y-coordinate of the vertex using the formula y = -b²/(4a) + c.

6.

FLASHCARD QUESTION

Front

What is the formula for the height of an object in free fall?

Back

The height of an object in free fall can be modeled by the equation h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

7.

FLASHCARD QUESTION

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.

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