Quadratic Word problem flashcardziz

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

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

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

Front

How do you find the maximum height of a projectile?

Back

The maximum height can be found by determining the vertex of the quadratic function that models the height over time.

Front

What is the formula to find the vertex of a quadratic function?

Back

The vertex (h, k) can be found using the formula h = -b/(2a) and k = f(h).

Front

What does the x-intercept represent in a height vs. time graph?

Back

The x-intercept represents the time when the object reaches the ground (height = 0).

Front

What is the significance of the y-intercept in a height vs. time graph?

Back

The y-intercept represents the initial height from which the object is launched.

Front

How do you determine the time of flight of a projectile?

Back

The time of flight is the total time the object is in the air, which can be found by calculating the x-intercepts of the height function.

Front

What is the standard form of a quadratic equation?

Back

The standard form is written as y = ax² + bx + c.

Front

What is the difference between the maximum height and the initial height?

Back

The maximum height is the peak height reached during the flight, while the initial height is the height at which the object is launched.