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

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

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

The minimum or maximum value occurs at the vertex of the parabola, which can be found using the vertex form or by calculating $$f(-\frac{b}{2a})$$ .

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ .

How can you determine if a quadratic function has real roots?

Check the discriminant $$D = b^2 - 4ac$$ : if D > 0, there are two real roots; if D = 0, there is one real root; if D

What does the term 'completing the square' mean?

Completing the square is a method used to convert a quadratic equation into vertex form by adding and subtracting the same value.

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

The sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

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

Changing 'b' affects the position of the vertex and the axis of symmetry, but does not change the direction of the parabola.

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, y-intercept, and x-intercepts, then plot these points and draw the parabola.

Mod 2 Final Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

The y-intercept is the value of c in the equation, which is the point where the graph intersects the y-axis.

Tags

CCSS.HSF-IF.C.7A

2.

FLASHCARD QUESTION

Front

How do you convert a quadratic expression to vertex form?

Back

3.

FLASHCARD QUESTION

Front

What does the coordinate (0, -2) represent on a graph of a quadratic function?

Back

The coordinate (0, -2) represents the y-intercept of the graph.

Tags

CCSS.HSF-IF.C.7A

4.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

Back

The y-intercept is the point (0, 4).

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

How do you find the x-intercepts of a quadratic function?

Back

Tags

CCSS.HSA-REI.B.4B

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