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India
Class XI

Transformations of Cubic Functions

Interactive practice questions

Consider the function $y=\left(x-2\right)^3$y=(x2)3.

a

Complete the following table of values.

$x$x $0$0 $1$1 $2$2 $3$3 $4$4
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Sketch a graph of the function.

Loading Graph...
c

What transformation of the graph $y=x^3$y=x3 results in the graph of $y=\left(x-2\right)^3$y=(x2)3?

horizontal translation $2$2 units to the left

A

vertical translation $2$2 units down

B

horizontal translation $2$2 units to the right

C

vertical translation $2$2 units up

D
Easy
2min

A graph of $y=x^3$y=x3 is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=x^3-4$y=x34.

Easy
< 1min

The graph of $y=x^3$y=x3 has been translated to the graph of $y=x^3+5$y=x3+5.

Easy
< 1min

The graph of $y=x^3$y=x3 has been translated to the graph of $y=5+x^3$y=5+x3.

Easy
< 1min
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Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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