The function p(x) = –8x2 – 64x can be written in vertex form p(x) = a(x – h)2 + k, where a = ,
h =
–8
, and k =
–16
.

To graph the function p, reflect the graph of f(x) = x2 across the x-axis, vertically stretch the graph by a factor of 8, shift the graph
right 4
units, and then shift the graph
units.