Modeling Quadratic Functions Practice (with a Calculator)

Front

What is a quadratic function?

Back

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.

Front

What is the vertex of a parabola?

Back

Front

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

Back

To find the maximum height, calculate the vertex of the quadratic function, which gives the time at which the maximum height occurs. Substitute this time back into the function to find the height.

Front

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

Back

The coefficient 'a' determines the direction of the parabola (upward or downward) and affects the width of the parabola. A larger absolute value of 'a' makes the parabola narrower.

Front

What is the formula for the height of an object thrown into the air?

Back

Front

How do you determine the height of a projectile at a specific time?

Back

Substitute the specific time value into the height equation to calculate the height at that time.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the formula to find the height of a toy rocket modeled by a quadratic equation?

Back

Front

What does the term 'initial height' refer to in projectile motion?

Back

The initial height is the height from which the object is launched or thrown, represented by h_0 in the height equation.