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4.05 Plotting parabolas

Interactive practice questions

Consider the equation $y=x\left(x-4\right)$y=x(x4).

a

Determine the $y$y-value of the $y$y-intercept of the graph.

b

Determine the $x$x-values of the $x$x-intercepts. Write all solutions on the same line separated by a comma.

c

Complete the table of values for the equation.

$x$x $0$0 $1$1 $2$2 $3$3 $4$4
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
d

Determine the coordinates of the turning point of the parabola. State your answer in the form $\left(a,b\right)$(a,b).

e

Plot the graph of the parabola.

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Easy
Approx 6 minutes
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Consider the equation $y=\left(x-2\right)\left(x-6\right)$y=(x2)(x6).

Consider the equation $y=\left(1-x\right)\left(x+5\right)$y=(1x)(x+5).

Consider the equation $y=x\left(x+4\right)$y=x(x+4).

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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