Question

State the direction of opening for f(x)=-(1)/(2)x^(2)+3

Answer 1

`f(x)=-(1)/(2)x^2+3`

The given expression is a quadratic function. If the leading coefficient is greater than zero in a quadratic function, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward. Graphically,

In this case, the leading coefficient is less than zero, the direction of opening is downward.