A.2+  Converting Between Quadratic Forms

A.2+ Converting Between Quadratic Forms

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

2.

FLASHCARD QUESTION

Front

How do you convert a quadratic function from factored form to standard form?

Back

To convert from factored form f(x) = a(x - r1)(x - r2) to standard form, expand the expression using the distributive property.

3.

FLASHCARD QUESTION

Front

What is factored form of a quadratic function?

Back

The factored form of a quadratic function is f(x) = a(x - r1)(x - r2), where r1 and r2 are the roots of the function.

4.

FLASHCARD QUESTION

Front

What are the roots of a quadratic function?

Back

The roots of a quadratic function are the values of x that make the function equal to zero.

5.

FLASHCARD QUESTION

Front

How do you find the roots of a quadratic equation in standard form?

Back

You can find the roots using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

6.

FLASHCARD QUESTION

Front

What does it mean for a quadratic function to be factorable?

Back

A quadratic function is factorable if it can be expressed as the product of two binomials.

7.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, two distinct real roots; if zero, one real root; if negative, no real roots.

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