Rational Functions - Transformations
Rational Functions. Use the sliders to explore how a, b, c, and d affect the graph. Then answer the questions below.
Use the sliders one at a time to examine the affect of a,b, c, and d to the graph above.
How does [math]a[/math] affect the graph? Choose all that apply.
When [math]a>1[/math] the graph is stretched vertically.
When [math]a>1[/math] the graph is compressed vertically.
When [math]0>a>1[/math] the graph is compressed vertically.
When [math]0>a>1[/math] the graph is stretched vertically.
How does [math]c[/math] affect the graph? Choose all that apply.
When the graph reads [math]f\left(x\right)=\frac{1}{x+c}[/math] the graph is translated right [math]c[/math] units.
When the graph reads [math]f\left(x\right)=\frac{1}{x+c}[/math] the graph is translated left [math]c[/math] units.
When the graph read [math]f\left(x\right)=\frac{1}{x-c}[/math] the graph is translated left [math]c[/math] units.
When the graph reads [math]f\left(x\right)=\frac{1}{x-c}[/math] the graph is translated right [math]c[/math] units.
How does [math]d[/math] affect the graph? Choose all that apply.
When the graph reads [math]f\left(x\right)=\frac{1}{x}+d[/math] the graph is translated up [math]d[/math] units.
When the graph reads [math]f\left(x\right)=\frac{1}{x}-d[/math] the graph is translated up [math]d[/math] units.
When the graph reads [math]f\left(x\right)=\frac{1}{x}-d[/math] the graph is translated down [math]d[/math] units.
When the graph reads [math]f\left(x\right)=\frac{1}{x}+d[/math] the graph is translated down [math]d[/math] units.
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Information: Rational Functions - Transformations