Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = (x-4)2-8

Answer 1

`f(x−h)`
here h is horizontal shift
`f(x) + k` here k is vertical shift
y=a(x-h)^2+k
if h is negative graph will shift h unit to the right
if h is positive graph will shift h unit to the left
if k is positive graph shift k unit p
if k is negative some unit down

Answer 2

if a is positive graph opens upward
and if it's negative graph opens downward