Quadratic Real World Problems #2

Front

What is the general form of a quadratic equation?

Back

Front

What does the vertex of a parabola represent in a real-world context?

Back

The vertex represents the maximum or minimum point of the quadratic function, indicating the highest or lowest value of the height in real-world problems.

Front

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

Back

Substitute the value of time (t) into the quadratic function h(t) to find the height.

Front

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

Back

The y-intercept is the height of the object at time t = 0, representing the initial height from which it was released.

Front

What are the roots of a quadratic equation?

Back

The roots are the values of t when the height h(t) is equal to zero, indicating when the object hits the ground.

Front

How can you determine the time it takes for an object to hit the ground using a quadratic equation?

Back

Set the height function h(t) equal to zero and solve for t to find the time when the object reaches ground level.

Front

Back

If the coefficient is negative, the parabola opens downward, indicating a maximum height; if positive, it opens upward, indicating a minimum height.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

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

Back

Front

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

Back

The initial height is the value of h(t) when t = 0, which is equal to the constant term c in the equation.