What is the formula for the height of an object in free fall?

The height of an object in free fall can be modeled by the equation $$h(t) = -16t^2 + h_0$$ , where $$h_0$$ is the initial height.

How do you find the time to reach maximum height in a projectile motion equation?

The time to reach maximum height can be found using the formula $$t = \frac{v_0}{g}$$ , where $$v_0$$ is the initial velocity and $$g$$ is the acceleration due to gravity (approximately 32 ft/s^2).

What is the significance of the discriminant in a quadratic equation?

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

What is the vertex form of a quadratic function?

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

How do you convert from standard form to vertex form?

To convert from standard form to vertex form, complete the square on the quadratic expression.

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

Changing the value of $$a$$ affects the width and direction of the parabola: larger absolute values of $$a$$ make the parabola narrower, while smaller absolute values make it wider.

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

The sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

How can you graph a quadratic function?

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

Quadratic Functions Review- Algebra 2 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 function?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

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

Back

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