What are the x-intercepts of a quadratic function?

The x-intercepts of a quadratic function are the points where the graph intersects the x-axis, found by solving the equation $$ax^2 + bx + c = 0$$ .

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

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

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

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

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where $$a$$ , $$b$$ , and $$c$$ are constants and @@a eq 0@@.

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, and x-intercepts, then plot these points and draw a smooth curve through them.

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

The maximum or minimum value of a quadratic function occurs at the vertex. If $$a > 0$$ , the vertex is a minimum; if $$a

What is the effect of the coefficient 'a' on the graph of a quadratic function?

The coefficient 'a' determines the direction of the parabola (upward if $$a > 0$$ , downward if $$a

How do you solve a quadratic equation using the quadratic formula?

To solve a quadratic equation using the quadratic formula, identify the coefficients $$a$$ , $$b$$ , and $$c$$ , then substitute them into the formula $$x = \frac{-b \\pm \sqrt{b^2 - 4ac}}{2a}$$ to find the values of $$x$$ .

Keller Quadratic Formula Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation indicate?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

How do you determine if a quadratic equation has real solutions?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the significance of a negative discriminant?

Back

A negative discriminant indicates that the quadratic equation has two complex (imaginary) solutions.

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

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