What is the vertex form of a quadratic equation?

The vertex form of a quadratic equation is given by $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

What is the axis of symmetry in a quadratic function?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula $$x = -\frac{b}{2a}$$ .

What are the roots of a quadratic equation?

The roots of a quadratic equation are the values of $$x$$ that make the equation equal to zero, also known as the solutions.

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

How can you determine if a quadratic equation has real solutions?

You can determine if a quadratic equation has real solutions by calculating the discriminant $$D = b^2 - 4ac$$ . If D >= 0, the equation has real solutions.

What is completing the square?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form $$(x - p)^2 = q$$ , making it easier to solve for $$x$$ .

Solve by the method of your choice: $$3x^2 - 10x + 1 = 0$$

$$x = \frac{5 \text{ \textpm } \text{sqrt}{22}}{3}$$ .

Solving Quadratic Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to solve a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

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Back

Tags

CCSS.HSA-REI.B.4B

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