THIS USER ASKED 👇

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

O left 1 unit, up 5 units
Oright 1 unit, up 5 units
left 2 units, up 2 units
Oright 2 units, up 2 units

THIS IS THE BEST ANSWER 👇

The answer (A) on the left is 1 unit, up 5 units.

Step-by-step explanation: We are about to find the correct translation that maps the graph of the function f (x) = x ^ 2 into the force g (x) = x ^ 2 + 2x + 6.

We have

g (x) = x ^ 2 + 2x + 6 \\\ Rightarrow g (x) = x ^ 2 + 2x + 1 + 5 \\\ Rightarrow g (x) -5 = (x + 1) ^ 2.

Compared to the graph of f (x), we can say that the graph of g (x) is shifted to the left by 1 unit and moved by 5 units.

So (A) is the right choice.