What is the discriminant of a quadratic equation?

The discriminant of a quadratic equation $$ax^2 + bx + c = 0$$ is given by $$D = b^2 - 4ac$$ . It determines the nature of the roots: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D

What is the quadratic formula?

The quadratic formula is used to find the roots of a quadratic equation and is given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the significance of the vertex in a quadratic function?

The vertex of a quadratic function represents the maximum or minimum point of the parabola, depending on whether it opens upwards or downwards.

How can you convert a quadratic function from standard form to vertex form?

To convert from standard form $$f(x) = ax^2 + bx + c$$ to vertex form $$f(x) = a(x - h)^2 + k$$ , complete the square.

What is the relationship between the roots and the coefficients of a quadratic equation?

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

What is a perfect square trinomial?

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, expressed as $$(x + a)^2 = x^2 + 2ax + a^2$$ .

How do you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw a smooth curve through them.

Quadratic Forms Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic form?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

How do you find the vertex of a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What are the x-intercepts of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

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