Find g(x), where g(x) is the translation 4 units up of f(x) = x2.
write your answer in the form a(x - h)? + k, where a, h, and k are integers.

Step-by-step explanation:

Given:

The function,

A standard parabola with vertex at origin is represented as:

The above function is a standard parabola with vertex at origin and opening upward.

The vertex of the above function is at the origin and the value of is 1.

Now, the function is translated 4 units up.

So, from the rule of function transformations, if a graph is moved up by units, then units is added to the function.

Therefore,

.

Also, the vertex of will be translated 4 units up. So, the co-ordinates of the vertex of will be

Now, express the above function in the vertex form .

We have

This gives,