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5.08 Graphs of parabolas

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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Outcomes

VCMNA311

Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations

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