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

The range of a quadratic function that opens upwards is all values of $$y$$ greater than or equal to the 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 all values of $$y$$ less than or equal to the y-coordinate of the vertex.

What is the difference between maximum and minimum values in a quadratic function?

A maximum value occurs at the vertex of a downward-opening parabola, while a minimum value occurs at the vertex of an upward-opening parabola.

What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ , which determines the nature of the roots.

What does it mean if the discriminant is positive?

If the discriminant is positive, the quadratic equation has two distinct real roots.

What does it mean if the discriminant is zero?

If the discriminant is zero, the quadratic equation has exactly one real root, also known as a repeated root.

What does it mean if the discriminant is negative?

If the discriminant is negative, the quadratic equation has no real roots, only complex roots.

What is a parabola's vertex form?

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

Quadratic Basics 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 equation?

Back

3.

FLASHCARD QUESTION

Front

What does the graph of a quadratic function look like?

Back

4.

FLASHCARD QUESTION

Front

What are the zeros of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

How can you find the zeros of a quadratic function?

Back

6.

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.

7.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a parabola?

Back

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