What is the interval of increase for a quadratic function that opens upwards?

The interval of increase is $$(h, \text{∞})$$ , where $$h$$ is the x-coordinate of the vertex.

What is the interval of decrease for a quadratic function that opens upwards?

The interval of decrease is $$(-\text{∞}, h)$$ , where $$h$$ is the x-coordinate of the vertex.

What is the interval of increase for a quadratic function that opens downwards?

The interval of increase is $$(-\text{∞}, h)$$ , where $$h$$ is the x-coordinate of the vertex.

What is the interval of decrease for a quadratic function that opens downwards?

The interval of decrease is $$(h, \text{∞})$$ , where $$h$$ is the x-coordinate of the vertex.

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

The maximum or minimum value occurs at the vertex, which can be found using the formula $$k$$ from the vertex form $$f(x) = a(x - h)^2 + k$$ .

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, two distinct real roots; if D = 0, one real root; if D

What is the effect of the coefficient 'a' on the graph of a quadratic function?

The coefficient 'a' determines the direction of the parabola: if $$a > 0$$ , it opens upwards; if $$a

What is the significance of the y-intercept in a quadratic function?

The y-intercept is the point where the graph intersects the y-axis, found by evaluating $$f(0)$$ .

Characteristics of Quadratic Functions Review 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 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 the axis of symmetry represent in a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

How do you find the axis of symmetry from the standard form?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

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

Back

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