Flashcardizz: 3-4 Modeling with Quadratic Functions (Gravity)

Front

What is a quadratic function?

Back

Front

What does the vertex of a quadratic function represent?

Back

The vertex of a quadratic function represents the maximum or minimum point of the graph, depending on the direction of the parabola.

Front

How do you find the maximum height of an object modeled by a quadratic function?

Back

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What does the initial height of an object refer to in a quadratic motion equation?

Back

Front

How can you determine the time it takes for an object to reach its maximum height?

Back

Front

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

Back

Front

What does the term 'gravity' refer to in the context of quadratic functions?

Back

In the context of quadratic functions modeling motion, gravity is represented by the coefficient -16 in the equation, which accounts for the acceleration due to gravity in feet per second squared.

Front

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

Back

The y-intercept is the point where the graph intersects the y-axis, representing the initial height of the object when time t = 0.

Front

How do you calculate the height of an object at a specific time using a quadratic function?

Back