Quadratic applications

Front

What is the maximum profit in a price vs profit graph?

Back

The maximum profit is the highest point on the graph, which can be determined by analyzing the vertex of the quadratic function.

Front

How do you calculate the maximum height of a projectile?

Back

Use the time obtained from -b/(2a) and plug it into the height equation.

Front

What is the formula to find the time at which maximum height occurs in a quadratic function?

Back

The time at which maximum height occurs is given by -b/(2a).

Front

Given the equation h(t) = -16t² + 20t + 6, at what time does the maximum height occur?

Back

0.625 seconds.

Front

What does the variable 'h' represent in the equation h = -12t² + 6t?

Back

The variable 'h' represents the height in feet above the water after 't' seconds.

Front

How do you determine when an object returns to the ground using a quadratic equation?

Back

Set the height equation equal to zero and solve for 't'.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, indicating the highest or lowest value of the function.

Front

What does the 'a' value in a quadratic equation indicate about the graph?

Back

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

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

How can you find the axis of symmetry in a quadratic function?

Back

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