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CanadaON
Grade 11

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
Easy
< 1min

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

Easy
< 1min

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.

Easy
< 1min

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

Easy
< 1min
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Outcomes

11U.A.1.8

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = a f (k(x – d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x, f(x) = x^2 , f(x) = sqrt(x) and f(x) = 1/x

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