NZ Level 7 (NZC) Level 2 (NCEA)
Transformations of Square Root Functions

## Interactive practice questions

The graph of $y=\sqrt{x}$y=x has been translated to the graph of $y=-3+\sqrt{x}$y=3+x.

a

What is the number of units that the graph of $y=\sqrt{x}$y=x has been translated vertically?

b

What is the direction that the graph of $y=\sqrt{x}$y=x has been translated?

upwards

A

downwards

B

upwards

A

downwards

B
Easy
Less than a minute

The graph of $y=\sqrt{x}$y=x has been translated to the graph of $y=\sqrt{x}-4$y=x4.

A graph of $y=\sqrt{x}$y=x is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=\sqrt{x}-4$y=x4.

A graph of $y=\sqrt{x}$y=x is shown here.

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems