### Home > CALC > Chapter 12 > Lesson 12.1.1 > Problem 12-6

12-6.

Recall what you know about the translation of functions. Homework Help ✎

What is the equation of the parabola that is identical in shape to

*f*(*x*) =*x*^{2}, but has its vertex at (5, 2)?Find an equation of a cosine curve that has a maximum at (2, −1).

Recall that vertex form for a parabola is *y* = *a*(*x* – *h*)^{2} + *k*.

The function *f*(*x*) = cos(*x*) has a maximum point at (0, 1).

How far does the original function need to be translated horizontally? Vertically?