Polynomial - Transformations

Polynomial 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, c, and d to the graph above.

How does [math]a[/math] affect the graph? Choose all that apply.

When [math]0>a>1[/math] the graph is stretched vertically. When [math]a>1[/math] the graph is stretched vertically. When [math]0>a>1[/math] the graph is compressed vertically. When [math]a>1[/math] the graph is compressed vertically.

How does [math]b[/math] affect the graph? Choose all that apply.

When [math]0>b>1[/math] the graph is stretched horizontally. When [math]b>1[/math] the graph is stretched horizontally. When [math]b>1[/math] the graph is compressed horizontally. When [math]0>b>1[/math] the graph is compressed horizontally.

How does [math]c[/math] affect the graph? Choose all that apply.

When the graph reads [math]f\left(x\right)=\left(x-c\right)^4[/math] the graph is translated right [math]c[/math] units. When the graph reads [math]f\left(x\right)=\left(x+c\right)^4[/math] the graph is translated right [math]c[/math] units. When the graph reads [math]f\left(x\right)=\left(x+c\right)^4[/math]the graph is translated left [math]c[/math] units. When the graph reads [math]f\left(x\right)=\left(x-c\right)^4[/math] the graph is translated left [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)=x^4-d[/math] the graph is translated up [math]d[/math] units. When the graph reads [math]f\left(x\right)=x^4-d[/math] the graph is translated down [math]d[/math] units. When the graph reads [math]f\left(x\right)=x^4+d[/math] the graph is translated up [math]d[/math] units. When the graph reads [math]f\left(x\right)=x^4+d[/math] the graph is translated down [math]d[/math] units.

Polynomial - Transformations

Polynomial 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, c, and d to the graph above.

Information: Polynomial - Transformations