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.

What is the significance of the leading coefficient in a quadratic function?

The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a

What is a root of a quadratic equation?

A root of a quadratic equation is a solution to the equation, where the graph of the function intersects the x-axis.

How do you solve a quadratic equation by factoring?

To solve by factoring, rewrite the equation in the form $$(x - p)(x - q) = 0$$ and set each factor equal to zero to find the roots p and q.

What is the importance of the quadratic formula?

The quadratic formula provides a method to find the roots of any quadratic equation, even when factoring is difficult or impossible.

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

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

A parabola is the graph of a quadratic function, characterized by its U-shape, which can open upwards or downwards.

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

The constant term (c) in a quadratic equation affects the y-intercept of the graph, indicating where the parabola crosses the y-axis.

Week 18 Exit Tickets (Alg. 2) 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 is the quadratic formula?

Back

3.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

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