### Home > PC > Chapter 1 > Lesson 1.2.2 > Problem 1-80

1-80.

The function *f*(*x*) is shown below right. Below are functions *g*(*x*) and *h*(*x*) which are transformations of *f*(*x*). Find expressions for *g*(*x*) and *h*(*x*) in terms of *f*(*x*). Try this using an eTool. Homework Help ✎

a. | ||

b. |

Describe how the graph is reflected.

Reflected vertically: -*f*(*x*)

Describe the vertical shift.

Shifted up 3 units: *f*(*x*) + 3*g*(*x*) = -*f*(*x*) + 3

Describe the horizontal shift.

Shifted left 1 unit: *f*(*x* + 1)

Describe the vertical shift.

Shifted up 1 unit: *f*(*x*) + 1

Describe the stretch factor.

Doubled: 2(*f*(*x*))*h*(*x*) = 2*f*(*x* + 1) + 2