NZ Level 7 (NZC) Level 2 (NCEA)
Find the Equation of a Square Root Function

## Interactive practice questions

The square root function that has been graphed has an equation of the form $y=a\sqrt{x}$y=ax.

a

By using a point on the graph, solve for the value of $a$a.

b

Hence state the equation of the function.

Easy
Approx 2 minutes

By comparing it to the function $y=\sqrt{x}$y=x, state the equation of the square root function that has been graphed.

By considering the domain of the function that has been graphed, state its equation.

The diagram shows the graph of the square root function $f\left(x\right)$f(x).

### 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