Parent Function Transformations

Parent Functions Transformations

On the interactive graph above choose the absolute value function in the window on the left. Use the sliders to change the 'c' and 'd' values.

When the 'c' value increases what happens to the graphed function?

The function is translated to the left [i]c[/i] units. The function is translated to the right [i]c[/i] units. The function is translated up [i]c[/i] units. The function is translated down [i]c[/i] units.

When the 'd' value decreases what happens to the graphed function?

The function is translated down [i]c[/i] units. The function is translated up [i]c[/i] units. The function is translated to the left [i]c[/i] units. The function is translated to the right [i]c[/i] units.

On the interactive graph above choose the square root function in the window on the left. Use the sliders to change the 'a' and 'b' values.

When the 'a' changes from positive to negative what happens to the graphed function?

The function is translated to the left [i]a[/i] units. The function is reflected in the x-axis. The function is reflected in the y-axis. The function is translated down [i]a[/i] units.

When the 'b' changes from positive to negative what happens to the graphed function?

The function is translated down [i]b[/i] units. The function is reflected in the x-axis. The function is translated to the right [i]b[/i] units. The function is reflected in the y-axis.

On the interactive graph above choose the rational function in the window on the left. Use the sliders to change the 'a', 'c' and 'd' values.

Graph the function [math]f\left(x\right)=t\left(x+2\right)-3[/math]. What transformations were preformed to make [math]f\left(x\right)[/math]? Choose all transformations that apply.

The function is translated right 2 units. The function is translated down 2 units. The function is translated left 3 units. The function is translated to the left 2 units. The function is translated up 3 units. The function is translated down 3 units.

Parent Function Transformations

On the interactive graph above choose the absolute value function in the window on the left. Use the sliders to change the 'c' and 'd' values.

On the interactive graph above choose the square root function in the window on the left. Use the sliders to change the 'a' and 'b' values.

On the interactive graph above choose the rational function in the window on the left. Use the sliders to change the 'a', 'c' and 'd' values.

Information: Parent Function Transformations