What are the zeros of a quadratic function?

The zeros of a quadratic function are the values of $$x$$ for which $$f(x) = 0$$ , also known as the x-intercepts of the graph.

What is the discriminant of a quadratic equation?

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

What is the range of a quadratic function that opens upwards?

The range of a quadratic function that opens upwards is $$[k, \text{∞})$$ , where $$k$$ is the minimum value (y-coordinate of the vertex).

What is the range of a quadratic function that opens downwards?

The range of a quadratic function that opens downwards is $$(-\text{∞}, k]$$ , where $$k$$ is the maximum value (y-coordinate of the vertex).

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

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

The vertex represents the maximum or minimum point of the quadratic function and is crucial for graphing the function.

How do you determine if a quadratic function has a maximum or minimum?

If the coefficient $$a$$ is positive, the function has a minimum; if $$a$$ is negative, the function has a maximum.

Understanding Quadratic Functions Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

4.

FLASHCARD QUESTION

Front

What does it mean for a parabola to open upwards?

Back

5.

FLASHCARD QUESTION

Front

What does it mean for a parabola to open downwards?

Back

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a parabola?

Back

7.

FLASHCARD QUESTION

Front

How do you find the maximum or minimum value of a quadratic function?

Back

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