What is the factored form of a quadratic function?

The factored form of a quadratic function is $$y = a(x - r_1)(x - r_2)$$ , where r_1 and r_2 are the roots of the quadratic equation.

How do you determine the roots of a quadratic function?

The roots can be found using the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

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 find the height of an object modeled by a quadratic function over time?

You can find the height by substituting the time value into the quadratic function, which gives the height at that specific time.

What does it mean if a quadratic function has a maximum value?

If a quadratic function has a maximum value, it means the parabola opens downwards, and the vertex represents the highest point on the graph.

What does it mean if a quadratic function has a minimum value?

If a quadratic function has a minimum value, it means the parabola opens upwards, and the vertex represents the lowest point on the graph.

How do you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts, then plot points and draw the parabola.

What is the significance of the coefficients a, b, and c in a quadratic function?

The coefficient 'a' determines the direction and width of the parabola, 'b' affects the position of the vertex, and 'c' represents the y-intercept.

Quadratic Functions: tables and graphs 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 does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.

3.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

4.

FLASHCARD QUESTION

Front

How do you find the axis of symmetry for a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex of the parabola. If the parabola opens upwards, it has a minimum value; if it opens downwards, it has a maximum value.

6.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

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