Putting together our work from yesterday, can we answer the following?

### Focus and Directrix

I. The equation of a parabola with focus and directrix is:

_____________________________________

II. The focus and directrix of the parabola are:

_____________________________________

### Roots

I. If a quadratic has roots and , then the formula for is ____________________________________

II. Given a quadratic function , the formula for the roots is: ____________________________________

### Applying transformations to

I. If we translate the graph of by , then the resulting parabola has equation _________________________

II. If we reflect the graph of across the -axis, then the resulting parabola has equation _________________________

III. If we dilate the graph of by a factor of centered at the origin , then the resulting parabola has equation _________________________