Find the axis of symmetry for $$y = x^2 + 4x + 4$$ .

The axis of symmetry is $$x = -2$$ .

Identify the axis of symmetry for the function $$y = -3x^2 + 6x - 1$$ .

The axis of symmetry is $$x = 1$$ .

How can you determine if a quadratic function opens upwards or downwards?

If the coefficient of $$x^2$$ (a) is positive, the parabola opens upwards. If it is negative, the parabola opens downwards.

Find the roots of the equation $$y = x^2 - 5x + 6$$ .

The roots are $$x = 2$$ and $$x = 3$$ .

What is the formula for the axis of symmetry?

The formula for the axis of symmetry is $$x = -\frac{b}{2a}$$ .

Find the axis of symmetry for $$y = 4x^2 - 12x + 9$$ .

The axis of symmetry is $$x = 1.5$$ .

What does the vertex represent in a quadratic function?

The vertex represents the maximum or minimum point of the parabola, depending on whether it opens upwards or downwards.

Find the vertex of the quadratic function $$y = -x^2 + 4x - 3$$ .

The vertex is at the point (2, 1).

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

The axis of symmetry is located exactly halfway between the two roots of the quadratic equation.

Identify the axis of symmetry for the function $$y = x^2 - 6x + 8$$ .

The axis of symmetry is $$x = 3$$ .

Axis of Symmetry, vertex, roots Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

How do you find the vertex of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What are the roots of a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

The vertex is at the point (2, -2).

6.

FLASHCARD QUESTION

Front

What is the significance of the axis of symmetry in a parabola?

Back

The axis of symmetry helps to determine the shape and position of the parabola, and it is also the line that passes through the vertex.

7.

FLASHCARD QUESTION

Front

Back

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