Topics
4. Linear Functions
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United States of AmericaNY
Algebra 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

AI-F.IF.4

For a function that models a relationship between two quantities: i) interpret key features of graphs and tables in terms of the quantities; and ii) sketch graphs showing key features given a verbal description of the relationship.

AI-F.IF.7

Graph functions and show key features of the graph by hand and by using technology where appropriate. ★

AI-F.IF.7a

Graph linear, quadratic, and exponential functions and show key features.

AI-F.BF.3a

Using f(x) + k, k f(x), and f(x + k): i) identify the effect on the graph when replacing f(x) by f(x) + k, k f(x), and f(x + k) for specific values of k (both positive and negative); ii) find the value of k given the graphs, iii) write a new function using the value of k; and iv) use technology to experiment with cases and explore the effects on the graph.

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