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

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

What is the discriminant of a quadratic equation?

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

How can you determine if a quadratic function has one or two x-intercepts?

You can determine this by evaluating the discriminant: if $$D = 0$$ , there is one x-intercept; if $$D > 0$$ , there are two x-intercepts; if $$D

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.

How do you convert from standard form to vertex form?

To convert from standard form $$f(x) = ax^2 + bx + c$$ to vertex form, complete the square.

What is the role of the constant term $$c$$ in a quadratic function?

The constant term $$c$$ represents the y-intercept of the quadratic function.

A parabola is the graph of a quadratic function, which is a U-shaped curve that can open upwards or downwards.

How can you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw the curve.

Attributes 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

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 x-intercepts of a quadratic function?

Back

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