Quadratic Formula

Quadratic Formula

Assessment

Flashcard

Mathematics

8th - 10th 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 quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

2.

FLASHCARD QUESTION

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant determines the nature of the roots: if > 0, there are 2 real solutions; if = 0, there is 1 real solution; if < 0, there are no real solutions.

3.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is the vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

4.

FLASHCARD QUESTION

Front

How do you find the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) for the x-coordinate, and then substituting back to find the y-coordinate.

5.

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.

6.

FLASHCARD QUESTION

Front

What is a parabola?

Back

A parabola is a U-shaped graph that represents a quadratic function, defined by a quadratic equation.

7.

FLASHCARD QUESTION

Front

What does it mean if a quadratic equation has no real solutions?

Back

It means the graph of the quadratic does not intersect the x-axis, indicating that the discriminant is less than zero.

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