Question

PLEASE HELP NEED ANSWER ASAP!!! Create a quadratic equation that when graphed creates a parabola that looks like a smile.

Answer 1

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

The equation is in the standard form
`y=ax^2+bx+c`.

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,
`(-b)/(2a)`.

The other point can be the y-intercept, which in standard form is simply
`(0,c)`.

Example:

An example of a quadratic equation that creates a parabola that looks like a smile is
`y=4x^2+8x+7`.

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