India
Class XI
Transformations of Power Functions
Interactive practice questions
Consider the function $y=2x^2$y=2x2
a
Complete the following table of values.
| $x$x | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 |
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Plot the graph.
Loading Graph...
c
For $y=ax^2$y=ax2, as $a$a increases, how does it change the graph of $y=x^2$y=x2?
Widens the graph
A
Narrows the graph
B
Reflects the graph across the $x$x-axis
C
Shifts the graph vertically
D
Easy
2min
Consider the curve $y=x^3-8$y=x3−8.
Easy
3min
Consider the parabola $y=x^2-3$y=x2−3.
Easy
2min
How does the graph of $y=\frac{1}{2}x^3$y=12x3 differ to the graph of $y=x^3$y=x3?
Easy
< 1min
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