Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

A tangent function has an amplitude (steepness) of 3, period of π, a transformation of π/2 to the right, and a transformation down 1. What is the equation for this trigonometric function?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. A tangent function undergoes the following transformations: reflection, vertical stretch of 2, period of π/2. What is the equation for this trigonometric function?

2. Which graph describes the function y = tan(θ - π/2) + 2?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

Focusing on the four ways to transform a tangent, this quiz and corresponding worksheet will help you gauge your knowledge of how to graph the tangent function. Topics you'll need to know to pass the quiz include understanding how to find the function for a tangent graph with a given set of transformations as well as knowing how to identify the correct graph from a given function.

Quiz & Worksheet Goals

Use this printable worksheet and quiz to review:

  • Various tangent graph function problems

Skills Practiced

This worksheet and quiz will let you practice the following skills:

  • Interpreting information - verify you can read information regarding how to find the function for a tangent graph with a given set of transformations and interpret it correctly
  • Problem solving - use acquired knowledge to solve various tangent graph function problems
  • Reading comprehension - ensure that you draw the most important information from the related how to graph the tangent function lesson

Additional Learning

To learn more about the role that a phase shift plays in these functions, review the corresponding lesson Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift. This lesson will help you:

  • Understand how the graph for trigonometric function looks and behaves
  • Identify the four ways to transform a tangent function
  • Describe how amplitude relates to the graph
  • Show what affects the vertical parts of the graph
  • Appreciate how to make the graph depict what you want
Support