Horizontal & Vertical Shifts of Linear Functions


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question 1 of 3

Which of the following is involved in a vertical shift?

A. A change in slope

B. A change in the value of the y-intercept

C. A movement along the y-axis

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Which of the following is involved in a horizontal shift?

A. A change in slope

B. A movement along the x-axis

C. A change in direction


Here are two functions:

Function 1: y = 3x + 1

Function 2: y = 3x + 4

How does the graph of Function 2 look, compared to the graph of Function 1?

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About This Quiz & Worksheet

You can test what you know about horizontal and vertical shifts of linear functions by taking this multiple-choice quiz. When you answer the questions, you'll be responsible for knowing about topics like the element(s) of a vertical shift and the attribute(s) of a horizontal shift.

Quiz & Worksheet Goals

The quiz/worksheet will assess how much you know about these points:

  • Comparison between two functions on a graph
  • Which element of y = mx + b is changed by a vertical shift
  • Upwards movement in a horizontal shift

Skills Practiced

  • Distinguishing differences - compare and contrast two functions that are depicted on a graph
  • Knowledge application - use your knowledge to answer questions about the characteristic(s) of a horizontal shift and an example of a change in a vertical shift
  • Information recall - access the knowledge you've gained regarding the part(s) of a vertical shift

Additional Learning

You can keep learning about linear functions with the lesson called Horizontal & Vertical Shifts of Linear Functions. These areas will be discussed in particular:

  • What linear functions are
  • Examples of shifts in a function along the y-axis
  • New functions across the x-axis