5 Equations and graphs
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.
Loading Graph...
d
Are the $y$y-values ever negative?
No
A
Yes
B
e
Write down the equation of the axis of symmetry.
f
What is the minimum $y$y-value?
g
For every $y$y-value greater than $0$0, how many corresponding $x$x-values are there?
$2$2
A
$3$3
B
$1$1
C
Easy
4min
Consider the equation $y=-x^2$y=−x2.
Easy
3min
Consider the equation $y=3x^2$y=3x2.
Medium
2min
Consider the equation $y=-2x^2$y=−2x2.
Medium
2min
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