### Home > CC4 > Chapter 5 > Lesson 5.1.1 > Problem 5-10

Plot Δ

*ABC*on graph paper with points*A*(1, 1),*B*(–1, –1), and*C*(4, –1). 5-10 HW eTool (Desmos) Homework Help ✎Use the function (

*x*→ –*x*,*y*→*y*) to transform Δ*ABC*. Label this triangle Δ*A*′*B*′*C*′. What kind of transformation does this produce? Name the coordinates of the image.Now translate Δ

*ABC*upward and right a total distance of five units, parallel to the line*y*=*x*+ 5 to create Δ*A*″*B*″*C*″. Name the coordinates of the image.

Review the Math Notes box in Lesson 3.1.4.

This transformation produces a reflection over the *y*-axis.

Name the coordinates of each image point.

This translation is to be parallel to the line, meaning you should translate every point up 4 and to the right 3.

Use the eTool below to solve the problem.

Click the link at right for the full version of the eTool: Int1 5-10 HW eTool