Question

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

Answer 1

There are two possible solutions

Explanation:

Answer 2

There are two possible solutions for
`g(x)`:

`g(x) = (x+3)^(2)-5`

`g(x) = x^(2)-3\cdot x +4`

Explanation:

From statement, we understand that
`g(x)` is defined by the following operation:

`g(x) = f(x) +5` (1)

If we know that
`f(x) = (x+3)^(2)-10`, then
`g(x)` is defined by:

`g(x) = (x+3)^(2)-10+5`

`g(x) = (x+3)^(2)-5`

`g(x) = x^(2)-3\cdot x + 9 -5`

`g(x) = x^(2)-3\cdot x +4`