How do you find the roots of a quadratic function?

The roots can be found using the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

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

The discriminant, given by $$D = b^2 - 4ac$$ , determines the nature of the roots: if $$D > 0$$ , there are two real roots; if $$D = 0$$ , there is one real root; if $$D

What is the vertex form of a quadratic function?

The vertex form of a quadratic function is $$f(x) = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

How do you evaluate a quadratic function at a specific value?

To evaluate, substitute the specific value into the function and simplify.

What is the maximum or minimum value of a quadratic function?

The maximum or minimum value occurs at the vertex. If $$a > 0$$ , it is a minimum; if $$a

What is the role of the constant term in a quadratic function?

The constant term $$c$$ represents the y-intercept of the graph of the quadratic function.

How can you graph a quadratic function?

To graph, find the vertex, axis of symmetry, and intercepts, then plot points and draw a smooth curve.

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

The sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

3/13 CW Evaluate Quadratic F(n)s A.F.2g Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

How do you find the value of a quadratic function at a specific point?

Back

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What does the 'a' value in a quadratic function determine?

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What is the factored form of a quadratic function?

Back

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