### Home > APCALC > Chapter 1 > Lesson 1.2.1 > Problem 1-27

1-27.

Sketch the graph of *y* = . 1-27 HW eTool (Desmos). Homework Help ✎

Why does this graph have a vertical asymptote? What is the equation of that asymptote?

Consider your answer to 1-26(d).

Vertical asymptotes are lines with undefined slopes. Their equations are of the form:

*x*=*k*where*k*is a constant.State the equation of the horizontal asymptote.

Consider the horizontal lines that you found in problem 1-22(b).

Horizontal asymptotes are lines with 0 slope. Their equations are of the form:

*y*= 0*x*+*b*or*y*=*k*, where*k*is some constant.Alter the equation

*y*=so that the vertical asymptote is*x*= 1 and the horizontal asymptote is*y*= 3.Use the eTool below to view the graphs.

Click the link at right for the full version of the eTool: Calc 1-27 HW eTool