Question

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

Option 1: Left 1 unit, up 5 units
Option 2: Right 1 unit, up 5 units
Option 3: Left 2 units, up 2 units
Option 4: Right 2 units, up 2 units

Answer 1

Hi,

option 1

Explanation:

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

Left 1 unit, up 5 units