New Zealand
Level 7 - NCEA Level 2
Transformations of Cubic Functions
Interactive practice questions
Consider the function $y=\left(x-2\right)^3$y=(x−2)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=(x−2)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=x3−4.
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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