8. Systems
8.13 Graphing quadratic functions
Interactive practice questions
Consider the equation $y=-x^2$y=−x2
a
Complete the following table of values.
| $x$x | $-3$−3 | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 | $3$3 |
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Plot the points in the table of values.
Loading Graph...
c
Hence plot the curve.
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d
Are the $y$y values ever positive?
No
A
Yes
B
e
What is the maximum $y$y value?
f
Write down the equation of the axis of symmetry.
Easy
4min
Consider the quadratic $y=3x^2$y=3x2.
Easy
2min
Consider the quadratic equation $y=-2x^2$y=−2x2.
Easy
2min
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