Question

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

left 1 unit, up 5 units
right 1 unit, up 5 units
left 2 units, up 2 units
right 2 units, up 2 units

Answer 1

A

Explanation:

Answer 2

left 1 unit, up 5 units

Explanation:

First factor

g(x)=x^2+2x+6 = (x+1)^2+5

The standard transformation formula is

g(x) = a*f(bx-h) + k

which means

a=1, b=1,h=-1, k=5

or

h=-1 means translate left one unit

k=5 means translate up 5 units.

Choose the first option: left 1 unit, up 5 units