What is the standard form of a quadratic function?

The standard form of a quadratic function is $$f(x) = ax^2 + bx + c$$ , where $$a, b, c$$ are constants.

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 find the y-intercept of a quadratic function?

The y-intercept of a quadratic function can be found by evaluating the function at $$x = 0$$ , which gives the point $$(0, c)$$ in the standard form $$f(x) = ax^2 + bx + c$$ .

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

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

What is completing the square?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form $$(x - p)^2 = q$$ , which makes it easier to solve for $$x$$ .

How do you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, y-intercept, and plot additional points. Then, draw a smooth curve through the points to form a parabola.

What is the relationship between the roots and the coefficients of a quadratic equation?

The sum of the roots of a quadratic equation $$ax^2 + bx + c = 0$$ is given by $$-\frac{b}{a}$$ , and the product of the roots is given by $$\frac{c}{a}$$ .

A parabola is the graph of a quadratic function, characterized by its U-shape, which can open upwards or downwards depending on the leading coefficient.

Quadratic Equations and Their Solutions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What are the zeros of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

4.

FLASHCARD QUESTION

Front

What does the discriminant tell us about a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by factoring?

Back

6.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

7.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

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