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

For a quadratic function that opens upwards, the range is all real numbers greater than or equal to the y-coordinate of the vertex.

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

For a quadratic function that opens downwards, the range is all real numbers less than or equal to the y-coordinate of the vertex.

What is the vertex form of a quadratic function?

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

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

A quadratic function opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

What are the key features of the graph of a quadratic function?

Key features include the vertex, axis of symmetry, x-intercepts, y-intercept, and the direction of opening.

What is the y-intercept of a quadratic function?

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at $$x = 0$$ .

How can 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.

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

The vertex represents the maximum or minimum value of the function, depending on whether the parabola opens upwards or downwards.

Characteristics of Quadratic Functions 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 standard form of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

How do you find the x-intercepts of a quadratic function?

Back

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