Ontario 10 Academic (MPM2D)
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Graph basic quadratics

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.

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c

Hence plot the curve.

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d

Are the $y$y values ever positive?

No

A

Yes

B

No

A

Yes

B
e

What is the maximum $y$y value?

f

Write down the equation of the axis of symmetry.

Easy
Approx 4 minutes
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Consider the quadratic $y=3x^2$y=3x2.

Consider the quadratic equation $y=-2x^2$y=2x2.

Outcomes

10D.QR1.01

Collect data that can be represented as a quadratic relation, from experiments using appropriate equipment and technology or from secondary sources, graph the data and draw a curve of best fit, if appropriate, with or without the use of technology

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