Graphing Sq Rt, Cubic and Cubed Root Equations

Front

What is the general form of a cubic root function?

Back

The general form of a cubic root function is @@y= oot{3}{x}@@.

Front

How does the graph of @@y= oot{3}{x}@@ behave as x approaches positive and negative infinity?

Back

Front

What is the effect of adding a constant to a cubic root function, such as in @@y= oot{3}{x}+2@@?

Back

Adding a constant shifts the graph vertically. In this case, the graph shifts up by 2 units.

Front

What is the effect of subtracting a constant from a cubic root function, such as in @@y= oot{3}{x}-2@@?

Back

Subtracting a constant shifts the graph vertically down. Here, the graph shifts down by 2 units.

Front

What does the equation @@y= oot{3}{x-5}@@ represent in terms of transformations?

Back

This equation represents a horizontal shift to the right by 5 units.

Front

What is the equation for a square root function?

Back

The general form of a square root function is @@y= oot{2}{x}@@.

Front

How does the graph of @@y= oot{2}{x}@@ behave as x approaches zero?

Back

Front

What is the effect of the equation @@y= oot{2}{x+3}@@ on the graph of the square root function?

Back

This equation shifts the graph of the square root function to the left by 3 units.

Front

What does the equation @@y= oot{2}{x-2}-1@@ represent in terms of transformations?

Back

This equation shifts the graph to the right by 2 units and down by 1 unit.

Front

What is the domain of the function @@y= oot{2}{x}@@?

Back