What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ .

What is the vertex form of a quadratic function?

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

How can you determine if a parabola opens upwards or downwards?

A parabola opens upwards if the coefficient $$a$$ in the equation $$y = ax^2 + bx + c$$ is positive, and it opens downwards if $$a$$ is negative.

What is the role of the coefficient 'a' in a quadratic function?

The coefficient 'a' determines the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower, while a smaller absolute value makes it wider.

What are the roots of a quadratic equation?

The roots of a quadratic equation are the values of $$x$$ that make the equation equal to zero, also known as the solutions of the equation.

How do you convert a quadratic equation from standard form to vertex form?

To convert from standard form to vertex form, complete the square on the quadratic expression.

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

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.

What is the significance of the ordered pair (0, c) in a quadratic function?

The ordered pair (0, c) represents the y-intercept of the quadratic function, where $$c$$ is the constant term in the standard form $$y = ax^2 + bx + c$$ .

Key Features of Quadratic Graphs Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What shape does the graph of a quadratic function take?

Back

The graph of a quadratic function takes the shape of a parabola.

Tags

CCSS.HSF-IF.C.7A

3.

FLASHCARD QUESTION

Front

What are the x-intercepts of a quadratic function?

Back

Tags

CCSS.HSF-IF.C.7A

4.

FLASHCARD QUESTION

Front

How do you find the vertex of a parabola given the equation in standard form?

Back

5.

FLASHCARD QUESTION

Front

What is the significance of the y-intercept in a quadratic function?

Back

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic graph?

Back

7.

FLASHCARD QUESTION

Front

What does the term 'discriminant' refer to in quadratic equations?

Back

Tags

CCSS.HSA-REI.B.4B

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