Applications of Quadratics Exit Ticket

Front

What is the y-value of the vertex in a quadratic function?

Back

The y-value of the vertex represents the maximum or minimum height of the parabola, indicating the highest or lowest point of the graph.

Front

How do you find the time it takes for an object to hit the ground when dropped from a height?

Back

You can use the quadratic equation derived from the height function, setting it equal to zero and solving for time.

Front

What does the initial height of an object in a quadratic function represent?

Back

The initial height is the starting point of the object, represented by the constant term in the quadratic equation.

Front

What is the positive zero of a quadratic function?

Back

The positive zero is the x-value where the function intersects the x-axis, indicating when the object reaches the ground.

Front

What is the standard form of a quadratic function?

Back

The standard form is written as f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' in a quadratic function indicate?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

How can you determine the maximum height of a projectile using its quadratic equation?

Back

The maximum height can be found by calculating the y-value of the vertex using the formula x = -b/(2a) to find the corresponding y.

Front

What is the significance 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 value of the function when x = 0.

Front

How do you identify the vertex of a parabola from its equation?

Back

The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, then substituting back to find the y-coordinate.

Front

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

Back

The roots (or zeros) of the quadratic equation are the x-values where the graph intersects the x-axis.