Need answer ! create a quadratic equation that when graphed creates a parabola that looks like a smile.

Parabolas that "open up" have a "cup" orientation, like , and parabolas that "open down" have a "cap" orientation, like . 

The equation is in the standard form . 

To graph the parabola, we need its vertex and another point on the parabola.

The vertex can be found using the formula for the x-coordinate, . 

The other point can be the y-intercept, which in standard form is simply .

Example: 

An example of a quadratic equation that creates a parabola that looks like a smile is . 

The vertex of the parabola is at (-1,3) and the y-intercept is at (0,7).