How do you find the zeros of a quadratic function?

The zeros of a quadratic function can be found by factoring, using the quadratic formula $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ , or by completing the square.

What is the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ , used to find the solutions (or roots) of a quadratic equation.

What is the discriminant of a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$D = b^2 - 4ac$$ . It 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 the axis of symmetry in a quadratic function?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation $$x = -\frac{b}{2a}$$ .

How can you determine if a quadratic function opens upward or downward?

A quadratic function opens upward if $$a > 0$$ and downward if $$a

What is the significance of the vertex in a quadratic function?

The vertex represents the maximum or minimum point of the quadratic function, indicating the highest or lowest value of the function.

A parabola is the graph of a quadratic function, characterized by its U-shape, which can open either upward or downward.

How do you graph a quadratic function?

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

Algebra 1 STAAR Category 4 Quadratics Flashcards

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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 equation?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

What are the x-intercepts of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is the y-intercept of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

What does it mean for a quadratic function to have a maximum value?

Back

7.

FLASHCARD QUESTION

Front

What does it mean for a quadratic function to have a minimum value?

Back

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