A parabola is a U-shaped curve that is the graph of a quadratic function, defined by the equation $$y = ax^2 + bx + c$$ where a, b, and c are constants.

What is the standard form of a quadratic function?

The standard form of a quadratic function 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.

What is the significance of the discriminant in a quadratic equation?

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

What is a maximum value in the context of a parabola?

The maximum value is the highest point on the graph of a downward-opening parabola, occurring at the vertex.

What is a minimum value in the context of a parabola?

The minimum value is the lowest point on the graph of an upward-opening parabola, occurring at the vertex.

How do you determine the increasing and decreasing intervals of a parabola?

A parabola is increasing on the interval to the right of the vertex and decreasing on the interval to the left of the vertex.

What is the effect of changing the value of 'a' in the quadratic equation?

Changing the value of 'a' affects the width and direction of the parabola: larger |a| makes it narrower, while smaller |a| makes it wider.

What is the relationship between the vertex and the axis of symmetry?

The vertex lies on the axis of symmetry, which is the line that divides the parabola into two equal halves.

Parabola Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a parabola?

Back

Tags

CCSS.HSF-IF.C.7A

2.

FLASHCARD QUESTION

Front

What does it mean for a parabola to open upward?

Back

Tags

CCSS.HSF-IF.C.7A

3.

FLASHCARD QUESTION

Front

What does it mean for a parabola to open downward?

Back

Tags

CCSS.HSF-IF.C.7A

4.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upward or downward.

5.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a parabola?

Back

6.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a parabola?

Back

Tags

CCSS.HSF-IF.C.7A

7.

FLASHCARD QUESTION

Front

What are the roots or x-intercepts of a parabola?

Back

Tags

CCSS.HSF-IF.C.7A

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