In previous units we have studied transformations of linear, absolute value, and quadratic functions. Here we will study transformations on the square root and cube root functions.
Drag the sliders to change the graph of cube root and square root functions. Observe how changing each slider changes the function.
[math]f\left(x\right)=a\sqrt{x-h}+k[/math][br][br]What do you think will happen when we adjust the value of [i]a, h, [/i]and [i]k[/i]?
[math]f\left(x\right)=a\sqrt[3]{x-h}+k[/math][br][br]What do you think will happen when we adjust the value of [i]a, h, [/i]and [i]k[/i]?
Which functions below show a graph with a vertical stretch by a factor of 3?
Which functions below show a translation 2 units up?
Which functions below show a translation 2 units right?
Write an equation for a vertical stretch by a factor of 2 followed by a translation 2 units left of the square root parent functions:
Write an equation for a vertical stretch by a factor of 2 followed by a translation 2 units left and 3 units down of the cube root parent functions: