Quadratic Models

Front

What is the y-intercept and what does it mean?

Back

The y-intercept is the point where the graph intersects the y-axis. It represents the initial value of the function when the independent variable (usually x) is zero. For example, if a ball is thrown from an initial height of 6 feet, the y-intercept is 6.

Front

How long was the frog in the air if its flight path is represented by h(t)?

Back

The time the frog was in the air can be determined by finding the value of t when h(t) = 0. In this case, the frog was in the air for 5 seconds.

Front

What is the vertex of a parabola and what does it mean?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on its orientation. For example, if a football reaches its maximum height of 31 feet after 1.4 seconds, the vertex is (1.4, 31).

Front

If the graph shows price vs profit, what is the maximum profit?

Back

The maximum profit is the highest point on the graph, which in this case is 12,500.

Front

What feature of the parabola indicates the maximum height of the football?

Back

The maximum height of the football is indicated by the y-value of the vertex of the parabola.

Front

What is a quadratic function?

Back

Front

What does the axis of symmetry represent in a quadratic function?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

How do you find the x-intercepts of a quadratic function?

Back

Front

What does the discriminant of a quadratic equation tell us?

Back