what does it mean if there are two x-roots the same
repeated root
- only touches the x axis
positive quadratic
negative quadratic
postitive cubic
negative reciprocal
exponential graphs
reciprocal graphs
y = f(x) + a
translation (0
a)
y = f(x) - a
translation (0
-a)
y = f(x + a)
translation (-a
0)
y = f(x - a)
translation (a
0)
y = -f(x)
reflection in x axis
y = f(-x)
reflection in y axis
y = af(x)
stretch parallel to the y axis with a scale factor of a
y = f(ax)
stretch parallel to x axis with scale factor 1/a