Find g(x), where g(x) is the translation 7 units up of f(x)=x2.
write your answer in the form a(x–h)2+k, where a, h, and k are integers.
g(x)=

in the form would be:

Step-by-step explanation:

Given:

Parent function:

Translation occurs 7 units up to get

Translation Rules:

If the function shifts units to the up.

If the function shifts units to the down.

So, from the above rules can be represented as:

    [7 units up]

Writing in the form where are integers.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!