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CanadaON
Grade 11

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.

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a

Which of the following are points that lie on the graphed function? Select the two that apply.

$\left(1,2\right)$(1,2)

A

$\left(3,3\right)$(3,3)

B

$\left(4,4\right)$(4,4)

C

$\left(2,3\right)$(2,3)

D

$\left(4,8\right)$(4,8)

E
b

Solve for the value of $a$a.

c

Hence state the equation of the function.

Easy
1min

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

Easy
1min

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

Easy
< 1min

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

Easy
1min
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Outcomes

11U.A.1.9

Sketch graphs of y = af (k(x – d)) + c by applying one or more transformations to the graphs of f(x) = x, f(x) = x , f(x) = sqrt(x) and f(x) = 1/x, and state the domain and range of the transformed functions

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