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

The 'a' value in a quadratic function determines the direction of the parabola (upward if $$a > 0$$ , downward if $$a

What does the discriminant of a quadratic equation tell us?

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

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

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

What is the vertex form of a quadratic function?

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

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

Changing the 'b' value in a quadratic function affects the position of the vertex and the axis of symmetry, but does not change the direction of the parabola.

How do you determine if a quadratic function is increasing or decreasing?

A quadratic function 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 axis of symmetry for the quadratic function $$y = -2x^2 + 4x + 1$$ ?

The axis of symmetry can be found using the formula $$x = -\frac{b}{2a} = -\frac{4}{2(-2)} = 1$$ .

How do you graph a quadratic function?

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

Characteristics of Quadratic Functions Flashcard

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

How do you find the axis of symmetry for a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is the range of a quadratic function that opens upwards?

Back

6.

FLASHCARD QUESTION

Front

What is the range of a quadratic function that opens downwards?

Back

7.

FLASHCARD QUESTION

Front

How do you convert from vertex form to standard form?

Back

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