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4.03 Transformations of y=x

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=x4.

Easy
1min
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Outcomes

NC.M1.F-IF.4

Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.

NC.M1.F-IF.7

Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.

NC.M1.F.BF.1b

Build a function that models a relationship between two quantities by combining linear, exponential, or quadratic functions with addition and subtraction or two linear functions with multiplication.

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