Question

The hyperbola is shifted to the right by 4 units and upward by 3 units.
The new center of the hyperbola is (
,
).

Answer 1

Using translation concepts, supposing a hyperbola with center initially at (x,y), the new center will be at (x - 4, y + 3).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we suppose a hyperbola with center initially at (x,y), hence:

• The shift right means that the new coordinate of x is x - 4.

• The shift up means that the new coordinate of y is y + 3.

Thus, the new center will be at (x - 4, y + 3).

More can be learned about translation concepts at https://brainly.com/question/4521517