Topics
4. Linear Functions
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United States of AmericaUT
Math I

4.03 Transformations of y=x

Lesson
Practice

Interactive practice questions

On which of the following graphs is the linear function decreasing?

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A

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B
Easy
< 1min

The lines $y=x+2$y=x+2 (black line) and $y=x$y=x (gray line) have been graphed on the same set of axes.

Easy
< 1min

Consider the graph of $y=-4x$y=−4x.

Easy
< 1min

Consider the graph of $y=x-4$y=x−4.

Easy
1min
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Outcomes

I.F.IF.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior.

I.F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

I.F.IF.7.a

Graph linear functions and show intercepts.

I.F.BF.1.b

Combine standard function types using arithmetic operations.

I.F.BF.3

Identify the effect on the graph of replacing f(x) by f(x) + k, for specific values of k (both positive and negative); find the value of k given the graphs. Relate the vertical translation of a linear function to its y-intercept. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

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