3.02 Transformations of linear functions

Adaptive

Worksheet

Interactive practice questions

The lines $g\left(x\right)=x+4$g(x)=x+4and $f\left(x\right)=x$f(x)=x are shown on the same coordinate plane.

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A coordinate plane showing the graph of two parallel lines, $f\left(x\right)=x$f(x)=x and $g\left(x\right)=x+4$g(x)=x+4.

Is $g\left(x\right)=x+4$g(x)=x+4 steeper, less steep, or equally steep as $f\left(x\right)=x$f(x)=x?

Steeper

Less steep

Equally steep

Easy

< 1min

The lines $g\left(x\right)=\frac{1}{3}x$g(x)=13x and $f\left(x\right)=x$f(x)=x are shown on the same coordinate plane.

Easy

< 1min

Use the applet to help answer the question.

Easy

< 1min

Use the applet to help answer the question.

Easy

< 1min

The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.

Investigate and explain how transformations to the parent function y = x affect the rate of change (slope) and the y-intercept of a linear function.

Graph a linear function in two variables, with and without the use of technology, including those that can represent contextual situations.

Compare and contrast the characteristics of linear functions represented algebraically, graphically, in tables, and in contextual situations.