Maximum Value of a Quadratic in Standard Form

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create a quadratic equation with the greatest possible maximum value.

Hint

Where is the best place to put the 9? How does each box affect the graph’s behavior?

Answer

The quadratic with the greatest possible maximum value is -x^2 + 9x + 8.  Play with the sliders on this Desmos graph for a hands on way of understanding how the a, b, and c terms affect the quadratic: https://www.desmos.com/calculator/kdsj3ic0gn

Source: Robert Kaplinsky

Print Friendly, PDF & Email

Check Also

Trinomial Function Features 1

Directions: Using the integers -9 to 9, at most one time each, fill in the …

Leave a Reply

Your email address will not be published. Required fields are marked *