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4.04 Transforming parabolas

Interactive practice questions

Consider the equation $y=3x^2+2$y=3x2+2.

a

Complete the table.

$x$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

Hence plot the graph of $y=3x^2+2$y=3x2+2.

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Medium
Approx 3 minutes
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Consider the equation $y=3x^2-3$y=3x23.

Consider the equation $y=-3x^2+4$y=3x2+4.

Consider the equation $y=-2x^2-4$y=2x24.

Outcomes

VCMNA339

Explore the connection between algebraic and graphical representations of relations such as simple quadratic, reciprocal, circle and exponential, using digital technology as appropriate

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