Question

If the leading coefficient on a quadratic function is (negative or positive)then the graph will open down and the function will have a (maximum or minimum) value.If the leading coefficient on a quadratic function is positive then the graph will open (up or down) and the function will have a (minimum or maximum) value.Choose one in each of the parentheses.

Answer 1

The leading coefficient of a quadratic function f(x) = ax² + bx + c is a, its value can significantly influence the behavior of the graph in the following way:

If the leading coefficient on a quadratic function is negative then the graph will open down and the function will have a maximum value.

If the leading coefficient on a quadratic function is positive then the graph will open up and the function will have a minimum value.