Quadratic Word problem flashcardziz

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?

Back

The maximum height of a projectile can be found at the vertex of the parabola representing its height over time.

Front

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

Back

The x-intercepts (or roots) of a quadratic function are the points where the graph intersects the x-axis, indicating the values of x for which the function equals zero.

Front

How do you determine the time a projectile is in the air?

Back

The time a projectile is in the air can be determined by finding the x-intercepts of the quadratic function that models its height.

Front

What is the formula for the height of a projectile?

Back

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of the function decreases.

Front

How can you tell if a quadratic function is increasing or decreasing?

Back

You can determine if a quadratic function is increasing or decreasing by analyzing the vertex and the direction of the parabola. If the vertex is the minimum point, the function decreases until the vertex and increases afterward.

Front

What is the axis of symmetry in a parabola?

Back