Quadratic Formula and Discriminant

Quadratic Formula and Discriminant

Assessment

Flashcard

Mathematics

9th Grade

Hard

CCSS
HSA-REI.B.4B, HSF-IF.C.7A, HSF.IF.A.1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What does the Discriminant tell us?

Back

The Discriminant (D = b² - 4ac) indicates the nature of the roots of a quadratic equation. If D > 0, there are two distinct real solutions; if D = 0, there is one real solution; if D < 0, there are no real solutions.

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

How do you determine the number of solutions using the Discriminant?

Back

Calculate the Discriminant (D = b² - 4ac). If D > 0, there are two solutions; if D = 0, there is one solution; if D < 0, there are no solutions.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the significance of a negative Discriminant?

Back

A negative Discriminant indicates that the quadratic equation has no real solutions, meaning the graph does not intersect the x-axis.

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What does it mean if a quadratic opens upwards?

Back

A quadratic opens upwards if the coefficient of x² (a) is positive. This means the vertex is a minimum point.

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

What does it mean if a quadratic opens downwards?

Back

A quadratic opens downwards if the coefficient of x² (a) is negative. This means the vertex is a maximum point.

Tags

CCSS.HSF-IF.C.7A

7.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function. It can be found using the formula (-b/(2a), f(-b/(2a))).

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