Square Root and Cube Root Functions
Transformations of Square Root and Cube Root Functions
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.
Square root functions of the form:
What do you think will happen when we adjust the value of a, h, and k?
Cube root functions of the form:
What do you think will happen when we adjust the value of a, h, and k?
Check your understanding
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?
Enrichment
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:
Enrichment
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: