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

Focus and Directrix

I. The equation of a parabola with focus (p,q) and directrix y=l is:

_____________________________________

II. The focus and directrix of the parabola y=ax^2+bx+c are:

_____________________________________

Roots

I. If a quadratic f(x) has roots r_1 and r_2, then the formula for f(x) is ____________________________________

II. Given a quadratic function f(x)=ax^2+bx+c, the formula for the roots is: ____________________________________

Applying transformations to y=x^2

I. If we translate the graph of y=x^2 by (h,k), then the resulting parabola has equation y =_________________________

II. If we reflect the graph of y=x^2 across the x-axis, then the resulting parabola has equation y=_________________________

III. If we dilate the graph of y=x^2 by a factor of r centered at the origin (0,0), then the resulting parabola has equation y =_________________________