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

The maximum or minimum value of a quadratic function occurs at the vertex, and can be found using the formula $$k = f(h)$$ , where (h, k) is the vertex.

What is the quadratic formula?

The quadratic formula is used to find the roots of a quadratic equation and is given by $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

How do 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 relationship between the coefficients and the roots of a quadratic equation?

The sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ , according to Vieta's formulas.

What does it mean for a quadratic function to be concave up or concave down?

A quadratic function is concave up if $$a > 0$$ (the parabola opens upwards) and concave down if $$a

How do you simplify the expression $$2i(i - 8)$$ ?

$$2i(i - 8) = 2i^2 - 16i = -2 - 16i$$ , since $$i^2 = -1$$ .

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

The vertex represents the highest or lowest point of the parabola, indicating the maximum or minimum value of the function.

What is the axis of symmetry in a quadratic function?

The axis of symmetry of a quadratic function is a vertical line that passes through the vertex, given by the equation $$x = h$$ , where (h, k) is the vertex.

12.6.24 Quadratic Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic inequality?

Back

2.

FLASHCARD QUESTION

Front

How do you solve a quadratic inequality?

Back

To solve a quadratic inequality, first find the roots of the corresponding quadratic equation, then test intervals between the roots to determine where the inequality holds true.

3.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

5.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What is the significance of the x-intercepts of a quadratic function?

Back

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