Quadratic Applications Warm Up

Front

What does the y-intercept represent in a quadratic function?

Back

The y-intercept represents the initial height of an object when it is thrown or projected.

Front

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

Back

Use the formula x = (-b / 2a) to find the x-coordinate of the vertex, then substitute this value back into the equation to find the maximum height.

Front

What does the y-axis represent in the context of a parabolic path of an object?

Back

The y-axis represents the height of the object from the ground.

Front

If the path of an object is represented by the equation (t-4)(t+2)=0, how long did it take for the object to hit the ground?

Back

4 seconds.

Front

What is the method to find when an object hits the ground in a quadratic equation?

Back

Find the x-intercept of the equation.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the standard form of a quadratic equation?

Back

The standard form is given by y = ax^2 + bx + c.

Front

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

Back

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

Front

How can you determine the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b / (2a).

Front

What is the significance of the x-intercepts in a quadratic function?

Back

The x-intercepts represent the points in time when the object hits the ground.