What is the axis of symmetry for the quadratic equation $$y = (x - 3)^2 + 1$$ ?

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

What does the parameter $$a$$ in the quadratic equation $$y = ax^2 + bx + c$$ represent?

The parameter $$a$$ determines the direction and width of the parabola.

How do you find the vertex of a parabola given in standard form?

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ .

What does it mean for a parabola to be 'narrower' or 'wider'?

A 'narrower' parabola has a larger absolute value of $$a$$ , while a 'wider' parabola has a smaller absolute value of $$a$$ .

What is the significance of the y-intercept in a quadratic function?

The y-intercept is the point where the graph intersects the y-axis, given by $$c$$ in the standard form $$y = ax^2 + bx + c$$ .

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

The maximum or minimum value occurs at the vertex, calculated as $$k$$ in the vertex form $$y = a(x-h)^2 + k$$ .

What is the difference between a maximum and minimum in a quadratic function?

A maximum occurs when the parabola opens downwards (a 0).

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

If $$a > 0$$ , the parabola opens upwards; if $$a

What is the formula for the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What does the discriminant $$b^2 - 4ac$$ tell us about the roots of a quadratic equation?

The discriminant indicates the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

3.5 Practice Test 2 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

Back

It is translated down 2 units and left 5 units.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

It makes the graph upside down.

5.

FLASHCARD QUESTION

Front

Back

The height of the ball after 2 seconds is 96 feet.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

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