8. Systems
8.14 Transformations of quadratics
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
This is a graph of $y=x^2$y=x2.
Easy
1min
Consider the function $y=\left(x-6\right)^2$y=(x−6)2.
Easy
3min
This is a graph of $y=x^2$y=x2.
Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account